Take-Home Exercise 03: Prototyping Modules for Geospatial Analytics Shiny Application

r
shiny
Author
Published

March 10, 2024

Modified

March 23, 2024

Prototyping Modules for Geospatial Analytics Shiny Application

1.0 Overview

In the realm of application development, prototyping serves as a powerful tool that breathes life into abstract concepts and ideas, transforming them into tangible representations. It is akin to a bridge that connects the realm of theoretical design with the practical world of user interaction.

A prototype, particularly for an application, is primarily a tool for validating design. It provides a platform to test and verify whether the visual elements and user experience (UX) of the application resonate with stakeholders and potential users. This process is crucial as it allows for the refinement of the application’s UX before further resources are committed, thereby ensuring efficiency and effectiveness in the development process.

1.1 Prototyping for Shiny Application

In the context of developing a Shiny application with R, prototyping takes on a more specific role. It involves evaluating and determining the necessary R packages that are supported in R CRAN, which forms the backbone of the application. This step ensures that the application is built on a solid and reliable foundation.

Furthermore, prototyping involves preparing and testing specific R codes to ensure they run correctly and return the expected output. This step is akin to a rehearsal before the actual performance, ensuring that the final product runs smoothly and meets the desired objectives.

Another critical aspect of prototyping in Shiny application development is determining the parameters and outputs that will be exposed on the Shiny applications. This process is like setting the stage for user interaction, deciding what the users see and how they interact with the application.

Lastly, prototyping involves selecting the appropriate Shiny UI components for exposing the parameters determined above. This step is where the application starts to take shape, and the user interface begins to reflect the application’s functionality and purpose.

In essence, prototyping is a journey of transformation, from abstract ideas to a functional application, ensuring that the final product not only meets design specifications but also provides an engaging and satisfactory user experience. It is the lighthouse that guides the application development process, ensuring that the final product is not just a mere application, but a solution that meets the needs of its users.

This exercise is designed as a comprehensive walk-through of the prototyping process for a Shiny application. It will guide you through each step, starting from the basics of Shiny, moving on to the ideation of a generic design, followed by the analysis of R-packages and testing of R codes, which all will contribute to the proposed storyboard of our Shiny application.

2.0 Understanding Basics of Shiny

Shiny is an open-source R package that provides a powerful web framework for building interactive web applications using R. The best part? We don’t need to dive into all that web design jargon like HTML, CSS, or JavaScript. We just focus on our R analysis, and Shiny turns it into a web app that others can play around with.

2.1 Basic Building Blocks of Shiny

When we’re working with Shiny, we basically have a folder that contains an R script named app.R. This script is the heart of our Shiny application. It’s made up of two main parts: a user interface ui object and a server function.

One of the cool things about Shiny is that it lets us keep our ui object and server function separate. This means we can clearly split up the code that creates our user interface (that’s the front end, what our users see and interact with) from the code that decides how our application behaves (that’s the back end, the behind-the-scenes stuff). It’s like having a clean, organized workspace, which makes our job a whole lot easier!

2.2 UI

When we’re building a Shiny application, we work with three main components headerPanel, sidebarPanel, and mainPanel. These are the building blocks for our app’s user-interface.

  • Sidebar Panel (sidebarPanel): This is a vertical panel on the side of the application. It is displayed with a distinct background color and typically contains input controls.

  • Main Panel (mainPanel): This is the primary area of the application and it typically contains outputs. The main panel displays the output (like maps, plots, tables, etc.) based on the input given in the sidebar panel.

  • Header Panel (headerPanel): This is the topmost part of the UI where you can place the title of our application. It is not always necessary but can be used to provide a title or brief description of our application.

Grid Layout System: FluidRow and Column

When we’re designing the layout of our Shiny app, we get to play around with two functions fluidRow() and column(). Rows are created using the fluidRow() function. Within these rows, we can add columns - but a thing to note here is that columns can only be included within a row. We can define columns using the column() function. The width of these columns is based on the Bootstrap 12-wide grid system. This means we can have up to 12 columns in a single row, giving us a lot of flexibility in how we want to arrange things.

By playing around with fluidRow() and column(), we can create a wide variety of layouts. A few examples of different layout grids can be seen below:

Header Panel: Navbar Pages

To create a Shiny application that consists of multiple distinct sub-components (each with their own sidebar, tabsets, or other layout constructs), Shiny provides navbarPage() function to create subsection pages within a single Shiny application. So, no matter how complex our app gets, navbarPage() helps us keep things organized and user-friendly.

Main Panel: Outputs

In our Shiny app, we can create placeholders in the main panel for outputs. These are later filled in by the server function, which translates our inputs into outputs. There are three main types of output, which correspond to the three things we usually include in a report: text, tables, and plots. Shiny provides functions like textOutput(), tableOutput(), and plotOutput() to define output elements and renderText(), renderTable() and renderPlot() to render and create output elements on user interface. Using fluidRow() and column(), configurations of the output elements can be customised as well.

Main Panel: Tabsets

Shiny provides tabsetPanel() function that allows us to subdivide the main panel into multiple sections. Each section can then show different outputs. It’s like having different tabs in a browser, each showing a different webpage. This way, we can keep our outputs neat and organized, and our users can easily find what they’re looking for.

2.3 Server

In a Shiny application, the server component is responsible for the server-side logic of our application. The server object can include one or more functions that take the inputs from our ui object and turn them into outputs. A server function usually take in an input and an output parameter. The input parameter allows the server to access the UI inputs, and the output parameter is used to define how to display outputs on the UI. An optional parameter session can also be inputted to define the session-related logic to the application.

So, how do the u and server interact to run the app? Well, imagine it like a two-way street. The ui sends the inputs to the server, and the server sends back the outputs to be displayed on the ui. It’s a continuous loop of interaction that keeps our app running smoothly. A generi diagram of how they interact to run the application has been formulated below:

In actual fact, there are multiple customisation and extensions available in Shiny to improve the look and feel of our application. However, I only covered basic components and certain customisations from my research that I intend to use in my proposed design.

3.0 Analysing R-Packages

4.0 Testing Spatial Interaction Modelling

pacman::p_load(tmap, sf, sp,spdep, sfdep, tidyverse, knitr,spflow, Matrix, performance)
flow_data_morn <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data.rds")
flow_data_morn_nov <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data2.rds")
flow_data_morn_dec <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data3.rds")
flow_data_morn_jan <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data4.rds")
flow_data_even <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data5.rds")
flow_data_even_nov <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data6.rds")
flow_data_even_dec <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data7.rds")
flow_data_even_jan <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/flow_data8.rds")

4.1 Creating Outflow Map

od_wkday_morn <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_morn.rds")
od_wkday_morn_nov <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_morn_nov.rds")
od_wkday_morn_dec <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_morn_dec.rds")
od_wkday_morn_jan <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_morn_jan.rds")
od_wkday_even <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_even.rds")
od_wkday_even_nov <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_even_nov.rds")
od_wkday_even_dec <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_even_dec.rds")
od_wkday_even_jan <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/od_wkday_even_jan.rds")

hex_grid <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/hex_grid.rds")
hex_grid_2 <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/hex_grid_2.rds")
hex_grid_pa <- read_rds("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/hex_grid_pa.rds")
outflow_morn_hex <- aggregate(flow_data_morn$TOTAL_TRIPS, by=list(Category=flow_data_morn$ORIGIN_hex), FUN=sum)

colnames(outflow_morn_hex) <- c("index", "TOTAL_TRIPS")
hex_outflow_morn <- left_join(hex_grid, outflow_morn_hex, by = 'index')
hex_outflow_morn$TOTAL_TRIPS <- ifelse(is.na(hex_outflow_morn$TOTAL_TRIPS), 0, hex_outflow_morn$TOTAL_TRIPS)
tmap_mode("view")
tm_shape(hex_outflow_morn) +
  tm_fill(col = "TOTAL_TRIPS",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Outflow Trip Count") +
  tm_borders(col = "grey")+
  tm_layout(legend.title.size = 1,
            legend.text.size = 0.6,
            frame = TRUE)

4.2 Making Inflow Map

inflow_morn_hex <- aggregate(flow_data_morn$TOTAL_TRIPS, by=list(Category=flow_data_morn$DESTIN_hex), FUN=sum)

# Rename the columns
colnames(inflow_morn_hex) <- c("index", "TOTAL_TRIPS")
hex_inflow_morn <- left_join(hex_grid, inflow_morn_hex, by = 'index')

hex_inflow_morn$TOTAL_TRIPS <- ifelse(is.na(hex_inflow_morn$TOTAL_TRIPS), 0, hex_inflow_morn$TOTAL_TRIPS)
tmap_mode("view")
tm_shape(hex_inflow_morn) +
  tm_fill(col = "TOTAL_TRIPS",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Inflow Trip Count")+
  tm_borders(col = "grey")+
  tm_layout(legend.title.size = 1,
            legend.text.size = 0.6,
            frame = TRUE)

4.3 Making Distribution Graphs

breaks <- c(0,0.9,100,1000,10000,100000,500000,1000000,5000000)
labels <- c("0", "1 to 100", "100 to 1,000", "1,000 to 10,000", "10,000 to 100,000", "100,000 to 500,00", "500,000 to 1,000,000", "1,000,000 to 5,000,000")

hex_inflow_morn$TRIPS_BIN <- cut(hex_inflow_morn$TOTAL_TRIPS, breaks = breaks, labels=labels, include.lowest = TRUE, right = FALSE)
head(hex_inflow_morn)
Simple feature collection with 6 features and 3 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 2292.538 ymin: 21810.9 xmax: 3417.538 ymax: 27873.08
Projected CRS: SVY21 / Singapore TM
  index TOTAL_TRIPS                       geometry TRIPS_BIN
1    33           0 POLYGON ((2667.538 21810.9,...         0
2    34           0 POLYGON ((2667.538 23109.94...         0
3    35           0 POLYGON ((2667.538 24408.98...         0
4    36           0 POLYGON ((2667.538 25708.01...         0
5    37           0 POLYGON ((2667.538 27007.05...         0
6    60           0 POLYGON ((3042.538 22460.42...         0
ggplot(data = hex_inflow_morn,
       aes(y = TRIPS_BIN,fill = TRIPS_BIN)) +
  geom_bar(show.legend = FALSE)+
  xlab("Count of Analytical Hexagons") +
  ylab("Inflow Trip Count") +  
  scale_fill_manual(values=c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"))+
    ggtitle("Distribution of Hexagons Per Each Inflow Trip Count Bin")

hex_inflow_morn_nozero <- hex_inflow_morn %>% filter(TOTAL_TRIPS != 0)
min(hex_inflow_morn_nozero$TOTAL_TRIPS)
[1] 2
max(hex_inflow_morn_nozero$TOTAL_TRIPS)
[1] 1291235
median(hex_inflow_morn_nozero$TOTAL_TRIPS)
[1] 34539
mode(hex_inflow_morn_nozero$TOTAL_TRIPS)
[1] "numeric"
ggplot(data = hex_inflow_morn_nozero,
       aes(y = TRIPS_BIN,fill = TRIPS_BIN)) +
  geom_bar(show.legend = FALSE)+
  xlab("Count of Analytical Hexagons") +
  ylab("Inflow Trip Count") +  
  scale_fill_manual(values=c("#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"))+
  ggtitle("Distribution of Hexagons Per Each Inflow Trip Count Bin", 
          subtitle = "(excluding hexagons with zero inflow trip)")

hex_outflow_morn$TRIPS_BIN <- cut(hex_outflow_morn$TOTAL_TRIPS, breaks = breaks, labels=labels, include.lowest = TRUE, right = FALSE)
head(hex_outflow_morn)
Simple feature collection with 6 features and 3 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 2292.538 ymin: 21810.9 xmax: 3417.538 ymax: 27873.08
Projected CRS: SVY21 / Singapore TM
  index TOTAL_TRIPS                       geometry TRIPS_BIN
1    33           0 POLYGON ((2667.538 21810.9,...         0
2    34           0 POLYGON ((2667.538 23109.94...         0
3    35           0 POLYGON ((2667.538 24408.98...         0
4    36           0 POLYGON ((2667.538 25708.01...         0
5    37           0 POLYGON ((2667.538 27007.05...         0
6    60           0 POLYGON ((3042.538 22460.42...         0
ggplot(data = hex_outflow_morn,
       aes(y = TRIPS_BIN,fill = TRIPS_BIN)) +
  geom_bar(show.legend = FALSE)+
  xlab("Count of Analytical Hexagons") +
  ylab("Outflow Trip Count") +  
  scale_fill_manual(values=c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0")) +
  ggtitle("Distribution of Hexagons Per Each Outflow Trip Count Bin")

hex_outflow_morn_nozero <- hex_outflow_morn %>% filter(TOTAL_TRIPS != 0)
min(hex_outflow_morn_nozero$TOTAL_TRIPS)
[1] 1
max(hex_outflow_morn_nozero$TOTAL_TRIPS)
[1] 998187
median(hex_outflow_morn_nozero$TOTAL_TRIPS)
[1] 30484
mode(hex_outflow_morn_nozero$TOTAL_TRIPS)
[1] "numeric"
ggplot(data = hex_outflow_morn_nozero,
       aes(y = TRIPS_BIN,fill = TRIPS_BIN)) +
  geom_bar(show.legend = FALSE)+
  xlab("Count of Analytical Hexagons") +
  ylab("Outflow Trip Count") +  
  scale_fill_manual(values=c("#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"))+
  ggtitle("Distribution of Hexagons Per Each Outflow Trip Count Bin", 
          subtitle = "(excluding hexagons with zero outflow trip)")

4.4 Zooming into Planning Area

In previous section, we only explore the inflow and outflow maps for the whole of Singapore island. However, it may not be intuitive enough to identify patterns at local subzone levels. One possible user calibration in this regard may be to allow the users to specify subzone they want to look into detail.

head(hex_inflow_morn)
Simple feature collection with 6 features and 3 fields
Geometry type: POLYGON
Dimension:     XY
Bounding box:  xmin: 2292.538 ymin: 21810.9 xmax: 3417.538 ymax: 27873.08
Projected CRS: SVY21 / Singapore TM
  index TOTAL_TRIPS                       geometry TRIPS_BIN
1    33           0 POLYGON ((2667.538 21810.9,...         0
2    34           0 POLYGON ((2667.538 23109.94...         0
3    35           0 POLYGON ((2667.538 24408.98...         0
4    36           0 POLYGON ((2667.538 25708.01...         0
5    37           0 POLYGON ((2667.538 27007.05...         0
6    60           0 POLYGON ((3042.538 22460.42...         0

Based on the user specification, we can filter this data before creating plots and histograms. As an demonstration, we will look at Changi Airpot!

tmap_mode("view")
tm_shape(hex_grid_pa) +
  tm_fill(col = "PLN_AREA_N",
          id= "PLN_AREA_N")+
  tm_borders(col = "grey")+
  tm_layout(legend.title.size = 1,
            legend.text.size = 0.6,
            frame = TRUE)
mpsz_sf <- st_read("~/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/mpsz_sf.shp")
Reading layer `mpsz_sf' from data source 
  `/Users/khantminnaing/IS415-GAA/Take-home_Ex/Take-home_Ex03/data/mpsz_sf.shp' 
  using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension:     XY
Bounding box:  xmin: 2667.538 ymin: 15748.72 xmax: 56396.44 ymax: 50256.33
Projected CRS: SVY21 / Singapore TM
sz_input <- "PUNGGOL"
sz_sf <- mpsz_sf %>% filter(PLN_AREA_N == sz_input)
sz_boundary <- st_combine(sz_sf)
sz_hex <- st_intersection(hex_inflow_morn, sz_boundary)
intersection_list = hex_inflow_morn$index[lengths(st_intersects(hex_inflow_morn, sz_hex)) > 0]
hex_inflow_morn_temp = hex_inflow_morn %>%
  filter(index %in% intersection_list)
tmap_mode("view")
tm_shape(hex_inflow_morn_temp) +
  tm_fill(col = "TOTAL_TRIPS",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Inflow Trip Count")+
  tm_borders(col = "grey")+
  tm_layout(legend.title.size = 1,
            legend.text.size = 0.6,
            frame = TRUE)
sz_input <- "HOUGANG"
sz_sf <- mpsz_sf %>% filter(PLN_AREA_N == sz_input)
sz_boundary <- st_combine(sz_sf)
sz_hex <- st_intersection(hex_inflow_morn, sz_boundary)
intersection_list = hex_inflow_morn$index[lengths(st_intersects(hex_inflow_morn, sz_hex)) > 0]
hex_inflow_morn_temp = hex_inflow_morn %>%
  filter(index %in% intersection_list)
tmap_mode("view")
tm_shape(hex_inflow_morn_temp) +
  tm_fill(col = "TOTAL_TRIPS",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Inflow Trip Count")+
  tm_borders(col = "grey")+
  tm_layout(legend.title.size = 1,
            legend.text.size = 0.6,
            frame = TRUE)

4.1 Poisson Regression

Since Poisson Regression is based on log and log 0 is undefined, it is important to ensure that no 0 values in the explanatory variables before running the model. We need to transform the zero values so that log transformation can be done correctly for the explanatory variables according to Poisson Regression.

flow_data_morn <- flow_data_morn %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

flow_data_morn_nov <- flow_data_morn_nov %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

flow_data_morn_dec <- flow_data_morn_dec %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

flow_data_morn_jan <- flow_data_morn_jan %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

flow_data_even <- flow_data_even %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

flow_data_even_nov <- flow_data_even_nov %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

flow_data_even_dec <- flow_data_even_dec %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

flow_data_even_jan <- flow_data_even_jan %>%
  mutate_at(vars(ends_with("_count")), ~ ifelse(. == 0, 0.99, .))

Applying log() Transformation to Explanatory Variables

flow_data_morn_jan_log <- flow_data_morn_jan %>%
  mutate_at(vars(ends_with("_count")), log) %>%
  mutate(dist = log(dist))

Origin (Production) Constrained Spatial Interaction Model

Next, fit an origin constrained SIM by using the code chunk below.

  • For origin constrained SIM, only explanatory variables representing the attractiveness at the destinations will be used. This is because such models emphasize the limitations or capacities of the origins rather than the demand or attractiveness of the destinations. The capacity or limitation at the origin sites determines the potential for generating interactions or flows.

  • Additionally, “-1” is added to the formula to remove the intercept that is inserted by glm into the model by default. Since the origin has already been constrained, the concept of an intercept would not be relevant.

orcSIM_morn_jan <- glm(TOTAL_TRIPS ~ ORIGIN_hex + d_biz_count + d_school_count + d_fin_count + d_hc_count + d_busstop_count + dist - 1,
              family = poisson(link = "log"),
              data = flow_data_morn_jan_log,
              na.action = na.exclude)
orcSIM_morn_jan

Call:  glm(formula = TOTAL_TRIPS ~ ORIGIN_hex + d_biz_count + d_school_count + 
    d_fin_count + d_hc_count + d_busstop_count + dist - 1, family = poisson(link = "log"), 
    data = flow_data_morn_jan_log, na.action = na.exclude)

Coefficients:
  ORIGIN_hex118    ORIGIN_hex146    ORIGIN_hex174    ORIGIN_hex175  
       13.20189         13.09334         11.22326         11.42222  
  ORIGIN_hex200    ORIGIN_hex201    ORIGIN_hex202    ORIGIN_hex203  
       12.70172         13.69935         14.72713         13.07198  
  ORIGIN_hex227    ORIGIN_hex228    ORIGIN_hex229    ORIGIN_hex230  
       13.19067         13.70042         11.38967         10.91943  
  ORIGIN_hex231    ORIGIN_hex254    ORIGIN_hex255    ORIGIN_hex256  
       12.31282         13.90063         12.69028         11.23380  
  ORIGIN_hex257    ORIGIN_hex258    ORIGIN_hex259    ORIGIN_hex281  
       12.50451         10.94560         12.48023         13.31705  
  ORIGIN_hex282    ORIGIN_hex284    ORIGIN_hex285    ORIGIN_hex286  
       12.19925         11.60798         10.98803         15.22791  
  ORIGIN_hex312    ORIGIN_hex313    ORIGIN_hex314    ORIGIN_hex336  
       10.71549         11.94925         12.49565          8.65414  
  ORIGIN_hex338    ORIGIN_hex339    ORIGIN_hex340    ORIGIN_hex366  
       13.42748         14.91822         10.77185         14.93131  
  ORIGIN_hex367    ORIGIN_hex391    ORIGIN_hex392    ORIGIN_hex393  
       12.01132         10.79168         13.64766         12.56098  
  ORIGIN_hex394    ORIGIN_hex419    ORIGIN_hex420    ORIGIN_hex445  
       12.18873         11.05502         10.93746         12.47815  
  ORIGIN_hex446    ORIGIN_hex447    ORIGIN_hex472    ORIGIN_hex473  
       13.37971         12.51499         10.00614         10.64309  
  ORIGIN_hex474    ORIGIN_hex499    ORIGIN_hex500    ORIGIN_hex526  
       11.52624         11.62619         13.73878         12.15703  
  ORIGIN_hex527    ORIGIN_hex528    ORIGIN_hex552    ORIGIN_hex553  
       13.10545         11.30671         11.47895         10.16647  
  ORIGIN_hex554    ORIGIN_hex555    ORIGIN_hex581    ORIGIN_hex582  
       12.47120         10.82106         12.23749         12.31029  
  ORIGIN_hex607    ORIGIN_hex608    ORIGIN_hex609    ORIGIN_hex610  
       12.53551         11.02123         16.04159         12.29913  
  ORIGIN_hex611    ORIGIN_hex634    ORIGIN_hex635    ORIGIN_hex636  
       10.70488         13.72898         11.04473         12.41880  
  ORIGIN_hex638    ORIGIN_hex661    ORIGIN_hex662    ORIGIN_hex663  
       12.94552          9.63232         10.90915         11.28430  
  ORIGIN_hex664    ORIGIN_hex665    ORIGIN_hex689    ORIGIN_hex690  
        9.74466         13.29701         10.80893         12.30818  
  ORIGIN_hex692    ORIGIN_hex693    ORIGIN_hex715    ORIGIN_hex716  
       13.50278         13.42623         13.30090         11.53556  
  ORIGIN_hex717    ORIGIN_hex718    ORIGIN_hex719    ORIGIN_hex720  
       12.93080         15.71244         14.11844         12.89918  
  ORIGIN_hex743    ORIGIN_hex744    ORIGIN_hex745    ORIGIN_hex746  
       14.50613         12.13498         14.40656         15.08914  
  ORIGIN_hex747    ORIGIN_hex748    ORIGIN_hex769    ORIGIN_hex770  
       13.37147         12.01503         10.88793         13.21547  
  ORIGIN_hex771    ORIGIN_hex772    ORIGIN_hex773    ORIGIN_hex774  
       12.84608         14.89655         14.56986         13.55429  
  ORIGIN_hex775    ORIGIN_hex777    ORIGIN_hex797    ORIGIN_hex799  
       13.19276         11.21951         11.94801         15.48742  
  ORIGIN_hex800    ORIGIN_hex802    ORIGIN_hex803    ORIGIN_hex805  
       16.07311         11.74953         11.52440         12.20246  
  ORIGIN_hex806    ORIGIN_hex823    ORIGIN_hex824    ORIGIN_hex825  
       12.88773         12.76364         12.40381         13.45023  
  ORIGIN_hex826    ORIGIN_hex827    ORIGIN_hex829    ORIGIN_hex833  
       16.16156         15.01680         11.29464         10.08177  
  ORIGIN_hex851    ORIGIN_hex852    ORIGIN_hex853    ORIGIN_hex854  
       10.42272         12.10379         13.26726         14.13762  
  ORIGIN_hex856    ORIGIN_hex861    ORIGIN_hex862    ORIGIN_hex878  
       10.21766         11.52052         11.86363         11.96090  
  ORIGIN_hex879    ORIGIN_hex880    ORIGIN_hex881    ORIGIN_hex888  
       12.21360         13.92070         13.23272         12.73649  
  ORIGIN_hex889    ORIGIN_hex905    ORIGIN_hex906    ORIGIN_hex907  
       12.54720         11.00127         11.81575         12.25604  
  ORIGIN_hex908    ORIGIN_hex910    ORIGIN_hex932    ORIGIN_hex933  
       15.48018         11.22534         12.83867         12.47216  
  ORIGIN_hex934    ORIGIN_hex935    ORIGIN_hex937    ORIGIN_hex959  
       13.47873         14.72762         14.11341         13.45291  
  ORIGIN_hex960    ORIGIN_hex961    ORIGIN_hex962    ORIGIN_hex986  
       13.62649         14.35377         15.32188         10.70136  
  ORIGIN_hex987    ORIGIN_hex988    ORIGIN_hex989    ORIGIN_hex991  
       15.10966         14.23893         15.33539         10.79918  
 ORIGIN_hex1013   ORIGIN_hex1014   ORIGIN_hex1015   ORIGIN_hex1016  
       11.54439         12.89628         14.73635         13.79738  
 ORIGIN_hex1042   ORIGIN_hex1043   ORIGIN_hex1045   ORIGIN_hex1067  
       13.63835         14.71480         12.22920         13.05659  
 ORIGIN_hex1068   ORIGIN_hex1069   ORIGIN_hex1070   ORIGIN_hex1071  
       12.81342         11.98372         14.63346         13.69993  
 ORIGIN_hex1073   ORIGIN_hex1078   ORIGIN_hex1093   ORIGIN_hex1094  
       12.58817         11.50944         11.27564         14.19951  
 ORIGIN_hex1095   ORIGIN_hex1096   ORIGIN_hex1097   ORIGIN_hex1099  
       11.36381         14.85670         14.33697         15.57605  
 ORIGIN_hex1122   ORIGIN_hex1123   ORIGIN_hex1124   ORIGIN_hex1125  
       15.11473         15.06018         14.58561         15.05016  
 ORIGIN_hex1126   ORIGIN_hex1127   ORIGIN_hex1128   ORIGIN_hex1132  
       14.84876         15.31702         15.48836         11.50849  
 ORIGIN_hex1147   ORIGIN_hex1148   ORIGIN_hex1149   ORIGIN_hex1150  
       11.67416         13.41764         13.07826         15.40172  
 ORIGIN_hex1151   ORIGIN_hex1152   ORIGIN_hex1153   ORIGIN_hex1154  
       14.84808         15.06850         15.79210         15.24154  
 ORIGIN_hex1155   ORIGIN_hex1158   ORIGIN_hex1174   ORIGIN_hex1175  
       12.67614         12.24938         11.97879         12.67202  
 ORIGIN_hex1176   ORIGIN_hex1177   ORIGIN_hex1178   ORIGIN_hex1179  
       13.78914         12.59770         14.85633         14.25036  
 ORIGIN_hex1180   ORIGIN_hex1181   ORIGIN_hex1182   ORIGIN_hex1183  
       14.52519         14.87852         14.95345         15.07807  
 ORIGIN_hex1185   ORIGIN_hex1201   ORIGIN_hex1202   ORIGIN_hex1203  
       11.81998         10.03687         14.08443         12.70309  
 ORIGIN_hex1205   ORIGIN_hex1206   ORIGIN_hex1207   ORIGIN_hex1209  
       15.47976         15.12200         14.72492         15.45828  
 ORIGIN_hex1210   ORIGIN_hex1211   ORIGIN_hex1212   ORIGIN_hex1228  
       12.20958         12.59185         11.75877         10.26868  
 ORIGIN_hex1229   ORIGIN_hex1230   ORIGIN_hex1231   ORIGIN_hex1232  
       11.99160         14.26268         15.38985         14.91504  
 ORIGIN_hex1233   ORIGIN_hex1235   ORIGIN_hex1236   ORIGIN_hex1237  
       14.10645         14.82831         14.06033         13.82582  
 ORIGIN_hex1238   ORIGIN_hex1239   ORIGIN_hex1255   ORIGIN_hex1256  
       11.57310         10.16974         13.72933         13.77201  
 ORIGIN_hex1257   ORIGIN_hex1258   ORIGIN_hex1259   ORIGIN_hex1261  
       12.30731         14.11704         14.68831         14.53814  
 ORIGIN_hex1262   ORIGIN_hex1263   ORIGIN_hex1264   ORIGIN_hex1265  
       14.93583         13.19310         12.65619         11.77557  
 ORIGIN_hex1266   ORIGIN_hex1282   ORIGIN_hex1283   ORIGIN_hex1284  
       12.28536         14.49303         14.32394         14.31547  
 ORIGIN_hex1285   ORIGIN_hex1286   ORIGIN_hex1287   ORIGIN_hex1288  
       12.79270         14.30240         14.00896         11.76820  
 ORIGIN_hex1289   ORIGIN_hex1293   ORIGIN_hex1308   ORIGIN_hex1309  
       15.02647         11.63291         13.05551         15.27369  
 ORIGIN_hex1310   ORIGIN_hex1311   ORIGIN_hex1312   ORIGIN_hex1314  
       16.06825         12.18898         12.57553         13.93390  
 ORIGIN_hex1315   ORIGIN_hex1316   ORIGIN_hex1318   ORIGIN_hex1319  
       15.11218         14.40343         13.33660         15.46090  
 ORIGIN_hex1320   ORIGIN_hex1335   ORIGIN_hex1336   ORIGIN_hex1337  
       13.44111          9.83401         13.57410         14.81368  
 ORIGIN_hex1338   ORIGIN_hex1339   ORIGIN_hex1340   ORIGIN_hex1341  
       10.65073         12.68897         12.51927         13.93661  
 ORIGIN_hex1342   ORIGIN_hex1343   ORIGIN_hex1347   ORIGIN_hex1348  
       13.32346         14.99707         11.72819         15.98272  
 ORIGIN_hex1362   ORIGIN_hex1363   ORIGIN_hex1364   ORIGIN_hex1366  
       13.31453         14.24843         14.05319         13.85567  
 ORIGIN_hex1367   ORIGIN_hex1368   ORIGIN_hex1369   ORIGIN_hex1370  
       11.97056         12.99848         15.20361         15.66692  
 ORIGIN_hex1372   ORIGIN_hex1374   ORIGIN_hex1375   ORIGIN_hex1389  
       11.25228         13.94318         17.12424         13.46851  
 ORIGIN_hex1390   ORIGIN_hex1391   ORIGIN_hex1392   ORIGIN_hex1394  
       11.63846         13.37807         13.77381         13.53452  
 ORIGIN_hex1396   ORIGIN_hex1397   ORIGIN_hex1401   ORIGIN_hex1402  
       14.54587         14.27524         15.05306         15.42519  
 ORIGIN_hex1416   ORIGIN_hex1417   ORIGIN_hex1418   ORIGIN_hex1419  
       10.27898         12.01813         13.12517         13.15677  
 ORIGIN_hex1420   ORIGIN_hex1422   ORIGIN_hex1423   ORIGIN_hex1426  
       14.38751         12.43477         15.47540         13.23291  
 ORIGIN_hex1428   ORIGIN_hex1429   ORIGIN_hex1443   ORIGIN_hex1444  
       14.66410         14.69639         12.51291         11.28133  
 ORIGIN_hex1445   ORIGIN_hex1446   ORIGIN_hex1447   ORIGIN_hex1455  
       14.40857         12.61626         15.28269         14.69833  
 ORIGIN_hex1456   ORIGIN_hex1457   ORIGIN_hex1469   ORIGIN_hex1470  
       15.31098         11.67639         14.50984         14.13081  
 ORIGIN_hex1471   ORIGIN_hex1472   ORIGIN_hex1480   ORIGIN_hex1482  
       14.80092         12.89186         10.12657         16.56386  
 ORIGIN_hex1483   ORIGIN_hex1496   ORIGIN_hex1497   ORIGIN_hex1498  
       15.04911         12.53976         11.15592         13.07461  
 ORIGIN_hex1499   ORIGIN_hex1500   ORIGIN_hex1501   ORIGIN_hex1507  
       14.40446         12.00631         13.53499         11.47014  
 ORIGIN_hex1509   ORIGIN_hex1510   ORIGIN_hex1511   ORIGIN_hex1523  
       13.67585         14.88262         13.02063         12.73352  
 ORIGIN_hex1524   ORIGIN_hex1525   ORIGIN_hex1526   ORIGIN_hex1527  
       11.88567         14.45067         12.23138         11.87249  
 ORIGIN_hex1534   ORIGIN_hex1535   ORIGIN_hex1536   ORIGIN_hex1537  
       10.18705          9.44939         15.18678         14.73918  
 ORIGIN_hex1550   ORIGIN_hex1551   ORIGIN_hex1552   ORIGIN_hex1553  
       13.36003         13.25075         11.57210         13.70373  
 ORIGIN_hex1554   ORIGIN_hex1555   ORIGIN_hex1562   ORIGIN_hex1563  
       12.85206         12.48312         12.63704         15.04011  
 ORIGIN_hex1564   ORIGIN_hex1565   ORIGIN_hex1576   ORIGIN_hex1578  
       15.60449         14.76793         12.95680         12.90298  
 ORIGIN_hex1579   ORIGIN_hex1581   ORIGIN_hex1588   ORIGIN_hex1590  
       14.69838         13.35927         11.98015         15.46838  
 ORIGIN_hex1591   ORIGIN_hex1592   ORIGIN_hex1604   ORIGIN_hex1605  
       15.23319         11.58244         13.20520         14.02355  
 ORIGIN_hex1606   ORIGIN_hex1607   ORIGIN_hex1616   ORIGIN_hex1617  
       13.28888         12.77087         12.76226         14.60478  
 ORIGIN_hex1618   ORIGIN_hex1619   ORIGIN_hex1620   ORIGIN_hex1630  
       15.94903         15.16499         12.64870         12.24098  
 ORIGIN_hex1631   ORIGIN_hex1632   ORIGIN_hex1633   ORIGIN_hex1634  
       13.18710         14.46288         13.35099         13.69293  
 ORIGIN_hex1635   ORIGIN_hex1642   ORIGIN_hex1644   ORIGIN_hex1645  
       12.92110         10.11961         14.71665         14.61924  
 ORIGIN_hex1646   ORIGIN_hex1647   ORIGIN_hex1658   ORIGIN_hex1659  
       13.32037          9.32729         14.14523         14.25335  
 ORIGIN_hex1660   ORIGIN_hex1661   ORIGIN_hex1662   ORIGIN_hex1669  
       13.31244         12.23261         13.23708         10.66049  
 ORIGIN_hex1670   ORIGIN_hex1672   ORIGIN_hex1673   ORIGIN_hex1674  
       11.83755         14.26667         13.31568         13.27820  
 ORIGIN_hex1684   ORIGIN_hex1685   ORIGIN_hex1686   ORIGIN_hex1687  
       14.72263         13.65016         13.87573         11.96300  
 ORIGIN_hex1688   ORIGIN_hex1689   ORIGIN_hex1695   ORIGIN_hex1699  
       11.99476         11.89347         10.10679         14.27943  
 ORIGIN_hex1700   ORIGIN_hex1701   ORIGIN_hex1712   ORIGIN_hex1713  
       12.95809         12.87869         13.71889         14.69212  
 ORIGIN_hex1714   ORIGIN_hex1716   ORIGIN_hex1717   ORIGIN_hex1723  
       11.95453         13.77426         10.07353         13.08275  
 ORIGIN_hex1726   ORIGIN_hex1727   ORIGIN_hex1728   ORIGIN_hex1738  
       12.84005         15.14010         13.29471         12.47823  
 ORIGIN_hex1739   ORIGIN_hex1740   ORIGIN_hex1741   ORIGIN_hex1743  
       13.90390         12.21534         13.29707         12.02997  
 ORIGIN_hex1744   ORIGIN_hex1748   ORIGIN_hex1749   ORIGIN_hex1753  
       10.98639          9.48795         13.93101         15.38806  
 ORIGIN_hex1754   ORIGIN_hex1764   ORIGIN_hex1765   ORIGIN_hex1766  
       14.26427         11.10124         14.70475         14.43810  
 ORIGIN_hex1767   ORIGIN_hex1768   ORIGIN_hex1770   ORIGIN_hex1771  
       13.86432         10.73171         11.95223         10.39366  
 ORIGIN_hex1776   ORIGIN_hex1777   ORIGIN_hex1778   ORIGIN_hex1780  
       14.87541         13.17870         11.77347         13.28450  
 ORIGIN_hex1781   ORIGIN_hex1792   ORIGIN_hex1793   ORIGIN_hex1794  
       15.15376         13.73956         14.36140         13.47636  
 ORIGIN_hex1795   ORIGIN_hex1796   ORIGIN_hex1798   ORIGIN_hex1800  
       11.64110         13.14770         10.36320         12.22839  
 ORIGIN_hex1802   ORIGIN_hex1804   ORIGIN_hex1805   ORIGIN_hex1806  
       11.24285         10.72854         13.52978         14.40782  
 ORIGIN_hex1807   ORIGIN_hex1808   ORIGIN_hex1818   ORIGIN_hex1820  
       14.90474         11.70025          8.07249         14.25573  
 ORIGIN_hex1821   ORIGIN_hex1822   ORIGIN_hex1823   ORIGIN_hex1824  
       14.78436         12.97076         13.42207         14.07719  
 ORIGIN_hex1827   ORIGIN_hex1828   ORIGIN_hex1829   ORIGIN_hex1831  
       13.54464         13.54345         13.34041         12.97863  
 ORIGIN_hex1833   ORIGIN_hex1834   ORIGIN_hex1835   ORIGIN_hex1846  
       15.25001         14.32431         14.61437         11.34549  
 ORIGIN_hex1847   ORIGIN_hex1848   ORIGIN_hex1850   ORIGIN_hex1852  
       14.74018         13.16170         13.97033         11.11323  
 ORIGIN_hex1853   ORIGIN_hex1854   ORIGIN_hex1855   ORIGIN_hex1856  
       13.68832         13.86715         13.35469         12.16383  
 ORIGIN_hex1857   ORIGIN_hex1858   ORIGIN_hex1859   ORIGIN_hex1860  
       10.69609         13.65870         14.67156         15.10909  
 ORIGIN_hex1861   ORIGIN_hex1862   ORIGIN_hex1874   ORIGIN_hex1875  
       15.34568         12.78384         13.58725         13.30698  
 ORIGIN_hex1877   ORIGIN_hex1878   ORIGIN_hex1879   ORIGIN_hex1881  
       12.50200         12.88222         12.51409          9.65786  
 ORIGIN_hex1882   ORIGIN_hex1883   ORIGIN_hex1884   ORIGIN_hex1886  
       14.36143         14.25190         12.92594         15.51969  
 ORIGIN_hex1887   ORIGIN_hex1888   ORIGIN_hex1889   ORIGIN_hex1890  
       15.87736         14.93325         10.83673         12.26410  
 ORIGIN_hex1900   ORIGIN_hex1901   ORIGIN_hex1902   ORIGIN_hex1904  
       11.65634         12.05210         12.65108         12.55160  
 ORIGIN_hex1905   ORIGIN_hex1906   ORIGIN_hex1907   ORIGIN_hex1908  
       12.86761         13.29605         14.01785         13.25767  
 ORIGIN_hex1909   ORIGIN_hex1910   ORIGIN_hex1912   ORIGIN_hex1913  
       14.59160         13.66427         12.47539         14.59276  
 ORIGIN_hex1914   ORIGIN_hex1916   ORIGIN_hex1928   ORIGIN_hex1931  
       15.47399         14.06282         12.83190         13.93304  
 ORIGIN_hex1932   ORIGIN_hex1933   ORIGIN_hex1934   ORIGIN_hex1935  
       13.89472         13.16140         12.21495         14.77817  
 ORIGIN_hex1936   ORIGIN_hex1937   ORIGIN_hex1940   ORIGIN_hex1941  
       14.70390         14.55969         15.66122         13.96973  
 ORIGIN_hex1942   ORIGIN_hex1956   ORIGIN_hex1958   ORIGIN_hex1959  
       13.40372         13.38756         13.68417         14.45216  
 ORIGIN_hex1960   ORIGIN_hex1961   ORIGIN_hex1962   ORIGIN_hex1963  
       14.56497         14.33004         14.84165         13.81538  
 ORIGIN_hex1964   ORIGIN_hex1967   ORIGIN_hex1968   ORIGIN_hex1985  
       13.17600         16.02424         15.83861         12.86923  
 ORIGIN_hex1986   ORIGIN_hex1987   ORIGIN_hex1988   ORIGIN_hex1989  
       13.36368         15.08339         13.70889         14.72562  
 ORIGIN_hex1990   ORIGIN_hex1991   ORIGIN_hex1992   ORIGIN_hex1994  
       15.25617         15.92349         12.92801         14.25220  
 ORIGIN_hex1995   ORIGIN_hex2011   ORIGIN_hex2012   ORIGIN_hex2013  
       16.25027         14.47583         13.52634         13.45552  
 ORIGIN_hex2014   ORIGIN_hex2015   ORIGIN_hex2016   ORIGIN_hex2017  
       13.92362         13.67959         14.02691         14.43607  
 ORIGIN_hex2021   ORIGIN_hex2039   ORIGIN_hex2040   ORIGIN_hex2041  
       14.27832         13.89304         14.14912         15.76308  
 ORIGIN_hex2042   ORIGIN_hex2043   ORIGIN_hex2044   ORIGIN_hex2046  
       14.23982         13.09455         15.17233         13.53741  
 ORIGIN_hex2047   ORIGIN_hex2049   ORIGIN_hex2064   ORIGIN_hex2066  
       10.53898         14.40753         11.73202         13.30145  
 ORIGIN_hex2067   ORIGIN_hex2068   ORIGIN_hex2069   ORIGIN_hex2070  
       14.39904         14.08289         12.34213         15.00927  
 ORIGIN_hex2071   ORIGIN_hex2072   ORIGIN_hex2073   ORIGIN_hex2092  
       14.01639         12.49852         10.22914         11.32423  
 ORIGIN_hex2094   ORIGIN_hex2095   ORIGIN_hex2096   ORIGIN_hex2097  
       14.37881         14.70282         12.16356         13.01920  
 ORIGIN_hex2098   ORIGIN_hex2101   ORIGIN_hex2102   ORIGIN_hex2120  
       13.89043         11.65317         12.39546         13.38151  
 ORIGIN_hex2121   ORIGIN_hex2122   ORIGIN_hex2123   ORIGIN_hex2124  
       13.59860         11.86709         13.81706         13.68592  
 ORIGIN_hex2125   ORIGIN_hex2126   ORIGIN_hex2128   ORIGIN_hex2129  
       13.35939         12.46908         10.29442         10.92666  
 ORIGIN_hex2146   ORIGIN_hex2147   ORIGIN_hex2148   ORIGIN_hex2149  
       14.39133         13.97957         14.76685         14.32954  
 ORIGIN_hex2150   ORIGIN_hex2151   ORIGIN_hex2152   ORIGIN_hex2153  
       12.86950         13.25866         14.42158         11.69617  
 ORIGIN_hex2154   ORIGIN_hex2155   ORIGIN_hex2172   ORIGIN_hex2174  
       14.79761          9.98307         14.03421         13.46422  
 ORIGIN_hex2175   ORIGIN_hex2176   ORIGIN_hex2177   ORIGIN_hex2178  
       14.72365         14.17071         15.23113         14.11884  
 ORIGIN_hex2179   ORIGIN_hex2180   ORIGIN_hex2181   ORIGIN_hex2182  
       14.21370         14.25582         14.94566         11.90866  
 ORIGIN_hex2200   ORIGIN_hex2201   ORIGIN_hex2202   ORIGIN_hex2203  
       13.48359         14.40809         12.65868         14.69510  
 ORIGIN_hex2204   ORIGIN_hex2205   ORIGIN_hex2206   ORIGIN_hex2207  
       13.52848         13.35759         14.72481         14.07343  
 ORIGIN_hex2208   ORIGIN_hex2209   ORIGIN_hex2227   ORIGIN_hex2228  
       14.97831         10.30621         12.75869         14.42141  
 ORIGIN_hex2229   ORIGIN_hex2230   ORIGIN_hex2231   ORIGIN_hex2233  
       13.74509         13.59777         13.71081         15.24826  
 ORIGIN_hex2234   ORIGIN_hex2235   ORIGIN_hex2254   ORIGIN_hex2255  
       12.55881         15.52867         12.84036         13.60145  
 ORIGIN_hex2256   ORIGIN_hex2257   ORIGIN_hex2258   ORIGIN_hex2259  
       13.29295         13.23976         13.51627         12.69911  
 ORIGIN_hex2260   ORIGIN_hex2261   ORIGIN_hex2262   ORIGIN_hex2281  
       14.93621         15.18095         14.48737         13.74388  
 ORIGIN_hex2282   ORIGIN_hex2283   ORIGIN_hex2284   ORIGIN_hex2285  
       14.14383         13.38923         12.70536         14.77194  
 ORIGIN_hex2286   ORIGIN_hex2287   ORIGIN_hex2288   ORIGIN_hex2308  
       13.81943         15.26980         14.03320         13.33333  
 ORIGIN_hex2309   ORIGIN_hex2310   ORIGIN_hex2311   ORIGIN_hex2312  
       14.38489         13.83170         13.98535         11.96088  
 ORIGIN_hex2313   ORIGIN_hex2314   ORIGIN_hex2315   ORIGIN_hex2316  
       14.01373         14.74192         14.19274         15.37706  
 ORIGIN_hex2317   ORIGIN_hex2335   ORIGIN_hex2336   ORIGIN_hex2337  
       13.67076         13.30376         14.05226         13.23103  
 ORIGIN_hex2338   ORIGIN_hex2339   ORIGIN_hex2340   ORIGIN_hex2341  
       11.90851         14.32492         15.23443         14.84413  
 ORIGIN_hex2342   ORIGIN_hex2343   ORIGIN_hex2362   ORIGIN_hex2363  
       14.76557         14.81327         12.57482         13.73893  
 ORIGIN_hex2364   ORIGIN_hex2365   ORIGIN_hex2366   ORIGIN_hex2367  
       10.98270         12.28523         13.09148         13.95909  
 ORIGIN_hex2368   ORIGIN_hex2369   ORIGIN_hex2370   ORIGIN_hex2371  
       15.09286         14.98760         15.20128         15.23029  
 ORIGIN_hex2389   ORIGIN_hex2390   ORIGIN_hex2391   ORIGIN_hex2392  
       13.11533         13.79033         13.84500         11.99326  
 ORIGIN_hex2393   ORIGIN_hex2394   ORIGIN_hex2395   ORIGIN_hex2396  
       12.22364         13.53870         14.73458         15.10666  
 ORIGIN_hex2397   ORIGIN_hex2398   ORIGIN_hex2416   ORIGIN_hex2417  
       14.58845         14.20905         13.41526         13.80289  
 ORIGIN_hex2418   ORIGIN_hex2419   ORIGIN_hex2420   ORIGIN_hex2422  
       13.64354         13.64193         12.16428         14.65893  
 ORIGIN_hex2423   ORIGIN_hex2424   ORIGIN_hex2425   ORIGIN_hex2426  
       14.38552         15.52447         15.15379         12.49800  
 ORIGIN_hex2443   ORIGIN_hex2444   ORIGIN_hex2445   ORIGIN_hex2448  
       13.88616         14.50971         14.75325         12.31529  
 ORIGIN_hex2449   ORIGIN_hex2450   ORIGIN_hex2451   ORIGIN_hex2452  
       15.21361         14.45518         16.01590         11.80339  
 ORIGIN_hex2471   ORIGIN_hex2472   ORIGIN_hex2473   ORIGIN_hex2476  
       13.55313         13.37892         14.68508         12.60258  
 ORIGIN_hex2478   ORIGIN_hex2479   ORIGIN_hex2480   ORIGIN_hex2497  
       14.36039         11.78607         14.79511         14.27936  
 ORIGIN_hex2498   ORIGIN_hex2499   ORIGIN_hex2500   ORIGIN_hex2503  
       13.15836         14.48041         10.71743          9.49877  
 ORIGIN_hex2504   ORIGIN_hex2505   ORIGIN_hex2507   ORIGIN_hex2525  
       14.37447         14.12427         12.53791         12.80415  
 ORIGIN_hex2526   ORIGIN_hex2527   ORIGIN_hex2531   ORIGIN_hex2532  
       13.66211         14.53559         11.39408         14.56140  
 ORIGIN_hex2533   ORIGIN_hex2551   ORIGIN_hex2552   ORIGIN_hex2553  
       15.75085         13.72227         12.82142         13.15912  
 ORIGIN_hex2554   ORIGIN_hex2557   ORIGIN_hex2559   ORIGIN_hex2579  
       13.14408         13.38142         13.82907         13.55990  
 ORIGIN_hex2580   ORIGIN_hex2581   ORIGIN_hex2584   ORIGIN_hex2605  
       14.94031         14.31837         11.11214         13.63950  
 ORIGIN_hex2606   ORIGIN_hex2607   ORIGIN_hex2608   ORIGIN_hex2609  
       13.33893         14.39230         13.57225         13.61452  
 ORIGIN_hex2610   ORIGIN_hex2611   ORIGIN_hex2633   ORIGIN_hex2634  
       11.96524         10.88582         13.46857         14.94763  
 ORIGIN_hex2635   ORIGIN_hex2636   ORIGIN_hex2637   ORIGIN_hex2638  
       15.07325         14.42117         13.24016         13.78693  
 ORIGIN_hex2660   ORIGIN_hex2661   ORIGIN_hex2662   ORIGIN_hex2663  
       13.85308         14.64348         13.86551         15.57715  
 ORIGIN_hex2664   ORIGIN_hex2665   ORIGIN_hex2687   ORIGIN_hex2688  
       13.68775         14.37744         13.33548         14.46582  
 ORIGIN_hex2689   ORIGIN_hex2690   ORIGIN_hex2691   ORIGIN_hex2693  
       14.66857         14.20290         15.59697         14.90801  
 ORIGIN_hex2714   ORIGIN_hex2715   ORIGIN_hex2716   ORIGIN_hex2717  
       13.92290         14.93504         11.37699         14.27695  
 ORIGIN_hex2718   ORIGIN_hex2719   ORIGIN_hex2742   ORIGIN_hex2743  
       13.90394         15.17653         14.85113         13.56308  
 ORIGIN_hex2744   ORIGIN_hex2745   ORIGIN_hex2746   ORIGIN_hex2747  
       14.83573         14.66447         14.33799         14.59414  
 ORIGIN_hex2768   ORIGIN_hex2769   ORIGIN_hex2770   ORIGIN_hex2771  
       14.38617         14.97871         13.29526         15.29911  
 ORIGIN_hex2772   ORIGIN_hex2773   ORIGIN_hex2795   ORIGIN_hex2796  
       14.30950         14.78428         10.92302         13.50103  
 ORIGIN_hex2797   ORIGIN_hex2798   ORIGIN_hex2799   ORIGIN_hex2800  
       13.49739         14.03573         14.71955         14.50382  
 ORIGIN_hex2801   ORIGIN_hex2822   ORIGIN_hex2823   ORIGIN_hex2824  
       12.61325         11.95312         12.21878         14.22260  
 ORIGIN_hex2825   ORIGIN_hex2826   ORIGIN_hex2827   ORIGIN_hex2850  
       15.05431         14.19752         15.15002         13.02092  
 ORIGIN_hex2851   ORIGIN_hex2852   ORIGIN_hex2853   ORIGIN_hex2854  
       12.10731         14.58278         15.26678         15.47635  
 ORIGIN_hex2877   ORIGIN_hex2878   ORIGIN_hex2879   ORIGIN_hex2880  
       12.57805         13.80606         14.85802         14.55760  
 ORIGIN_hex2881   ORIGIN_hex2905   ORIGIN_hex2906   ORIGIN_hex2907  
       15.41595         13.68068         14.03007         14.94139  
 ORIGIN_hex2908   ORIGIN_hex2909   ORIGIN_hex2931   ORIGIN_hex2932  
       14.65023         14.73807         11.53277          9.37463  
 ORIGIN_hex2933   ORIGIN_hex2934   ORIGIN_hex2959   ORIGIN_hex2960  
       13.65885         14.67220         12.03993         13.48257  
 ORIGIN_hex2961   ORIGIN_hex2962   ORIGIN_hex2963   ORIGIN_hex2987  
       13.78997         13.72931         11.47320         11.07624  
 ORIGIN_hex2988   ORIGIN_hex2989   ORIGIN_hex2990   ORIGIN_hex3015  
       11.84674         12.11229         11.87229         14.22365  
 ORIGIN_hex3016   ORIGIN_hex3017   ORIGIN_hex3040   ORIGIN_hex3043  
       12.85695         10.98757         14.17417         12.77774  
 ORIGIN_hex3044   ORIGIN_hex3068   ORIGIN_hex3069   ORIGIN_hex3070  
       12.06119         13.20768         13.97111         11.97870  
 ORIGIN_hex3072   ORIGIN_hex3092   ORIGIN_hex3098   ORIGIN_hex3123  
       11.69063         14.99807         13.92473         14.74537  
 ORIGIN_hex3126   ORIGIN_hex3151   ORIGIN_hex3152   ORIGIN_hex3173  
       10.20856         13.57800         10.12215         11.93116  
 ORIGIN_hex3178   ORIGIN_hex3179   ORIGIN_hex3205   ORIGIN_hex3206  
       13.38087         13.19954         13.51752         14.07166  
 ORIGIN_hex3232   ORIGIN_hex3233   ORIGIN_hex3286   ORIGIN_hex3308  
       11.78149         13.02696         12.17413         15.35894  
 ORIGIN_hex3419      d_biz_count   d_school_count      d_fin_count  
       12.21228          0.10861          0.13868          0.41566  
     d_hc_count  d_busstop_count             dist  
        0.03156          0.03666         -1.15136  

Degrees of Freedom: 38484 Total (i.e. Null);  37677 Residual
Null Deviance:      271900000 
Residual Deviance: 36440000     AIC: 36670000
desSIM_morn_jan <- glm(TOTAL_TRIPS ~ DESTIN_hex + o_biz_count + o_school_count + o_fin_count + o_hc_count + o_busstop_count + dist - 1,
              family = poisson(link = "log"),
              data = flow_data_morn_jan_log,
              na.action = na.exclude)
desSIM_morn_jan

Call:  glm(formula = TOTAL_TRIPS ~ DESTIN_hex + o_biz_count + o_school_count + 
    o_fin_count + o_hc_count + o_busstop_count + dist - 1, family = poisson(link = "log"), 
    data = flow_data_morn_jan_log, na.action = na.exclude)

Coefficients:
  DESTIN_hex118    DESTIN_hex146    DESTIN_hex174    DESTIN_hex175  
        11.3945          16.8103          15.9335          14.2297  
  DESTIN_hex200    DESTIN_hex201    DESTIN_hex202    DESTIN_hex203  
        13.8455          16.1705          13.9019          14.4919  
  DESTIN_hex227    DESTIN_hex228    DESTIN_hex229    DESTIN_hex230  
        10.8512          14.6753          12.5134          14.2326  
  DESTIN_hex231    DESTIN_hex254    DESTIN_hex255    DESTIN_hex256  
        11.8026          14.7041          13.6585          15.2846  
  DESTIN_hex257    DESTIN_hex258    DESTIN_hex259    DESTIN_hex281  
        12.9280          14.7794          14.1105          12.2196  
  DESTIN_hex282    DESTIN_hex284    DESTIN_hex285    DESTIN_hex286  
        12.5346          14.3497          13.5331          13.4190  
  DESTIN_hex312    DESTIN_hex313    DESTIN_hex314    DESTIN_hex336  
        10.6690          13.7954          13.5345          13.6464  
  DESTIN_hex338    DESTIN_hex339    DESTIN_hex340    DESTIN_hex366  
        13.0346          13.2018          12.7959          11.2646  
  DESTIN_hex367    DESTIN_hex391    DESTIN_hex392    DESTIN_hex393  
        13.2180          13.5886          12.7503          14.6103  
  DESTIN_hex394    DESTIN_hex419    DESTIN_hex420    DESTIN_hex421  
        10.8530          15.3091          12.4032          12.9123  
  DESTIN_hex445    DESTIN_hex446    DESTIN_hex447    DESTIN_hex472  
        14.1371          12.6421          13.5263           9.6055  
  DESTIN_hex473    DESTIN_hex474    DESTIN_hex499    DESTIN_hex500  
        13.4339          13.1639          10.5763          14.1047  
  DESTIN_hex526    DESTIN_hex527    DESTIN_hex528    DESTIN_hex552  
        13.8933          14.7552          16.8612          13.0073  
  DESTIN_hex553    DESTIN_hex554    DESTIN_hex555    DESTIN_hex581  
        11.0814          15.6639          15.0699          13.9229  
  DESTIN_hex582    DESTIN_hex607    DESTIN_hex608    DESTIN_hex609  
        12.9779          13.9959          14.4002          14.8885  
  DESTIN_hex610    DESTIN_hex611    DESTIN_hex634    DESTIN_hex635  
        13.6940          12.3168          15.0167          12.8274  
  DESTIN_hex636    DESTIN_hex638    DESTIN_hex661    DESTIN_hex662  
        12.3537          15.5495          12.4754          15.2171  
  DESTIN_hex663    DESTIN_hex664    DESTIN_hex665    DESTIN_hex689  
        13.4891          13.4323          13.4602          14.0106  
  DESTIN_hex690    DESTIN_hex692    DESTIN_hex693    DESTIN_hex715  
        14.0048          12.5053          12.6160          14.0210  
  DESTIN_hex716    DESTIN_hex717    DESTIN_hex718    DESTIN_hex719  
        12.9325          12.0374          14.2146          13.2121  
  DESTIN_hex720    DESTIN_hex743    DESTIN_hex744    DESTIN_hex745  
        13.2376          12.4083          14.4473          13.7594  
  DESTIN_hex746    DESTIN_hex747    DESTIN_hex748    DESTIN_hex769  
        13.7098          15.5746          12.1746          13.0985  
  DESTIN_hex770    DESTIN_hex771    DESTIN_hex772    DESTIN_hex773  
        13.6488          13.3187          14.7149          12.3630  
  DESTIN_hex774    DESTIN_hex775    DESTIN_hex776    DESTIN_hex777  
        12.4633          13.3875          10.8673          12.7655  
  DESTIN_hex797    DESTIN_hex798    DESTIN_hex799    DESTIN_hex800  
        13.8821          11.6370          15.1623          13.6035  
  DESTIN_hex802    DESTIN_hex803    DESTIN_hex805    DESTIN_hex806  
        11.6881          12.3023          10.6919          13.9138  
  DESTIN_hex823    DESTIN_hex824    DESTIN_hex825    DESTIN_hex826  
        14.7039          14.1879          12.5927          15.6359  
  DESTIN_hex827    DESTIN_hex829    DESTIN_hex833    DESTIN_hex851  
        13.8317          10.9805          13.1236          11.9148  
  DESTIN_hex852    DESTIN_hex853    DESTIN_hex854    DESTIN_hex856  
        13.8973          13.6404          13.6304           9.6737  
  DESTIN_hex861    DESTIN_hex862    DESTIN_hex878    DESTIN_hex879  
        12.2589          12.8783          14.3256          14.9622  
  DESTIN_hex880    DESTIN_hex881    DESTIN_hex888    DESTIN_hex889  
        12.6943          12.6288          11.1645          12.6152  
  DESTIN_hex905    DESTIN_hex906    DESTIN_hex907    DESTIN_hex908  
        12.7625          12.2682          13.5184          13.6153  
  DESTIN_hex910    DESTIN_hex932    DESTIN_hex933    DESTIN_hex934  
        14.6843          13.2999          13.3502          13.8761  
  DESTIN_hex935    DESTIN_hex937    DESTIN_hex959    DESTIN_hex960  
        14.0492          13.7022          14.9693          13.7449  
  DESTIN_hex961    DESTIN_hex962    DESTIN_hex986    DESTIN_hex987  
        13.4594          15.6660          11.5182          13.9008  
  DESTIN_hex988    DESTIN_hex989    DESTIN_hex991   DESTIN_hex1013  
        11.9624          13.9628          13.3856          12.9602  
 DESTIN_hex1014   DESTIN_hex1015   DESTIN_hex1016   DESTIN_hex1042  
        11.8622          11.2159          13.2381          14.5985  
 DESTIN_hex1043   DESTIN_hex1045   DESTIN_hex1067   DESTIN_hex1068  
        13.9715          11.0115          14.8870          11.4387  
 DESTIN_hex1069   DESTIN_hex1070   DESTIN_hex1071   DESTIN_hex1073  
        11.6574          13.6811          13.1547          12.3927  
 DESTIN_hex1078   DESTIN_hex1093   DESTIN_hex1094   DESTIN_hex1095  
        12.8703          14.1603          12.4316          12.1047  
 DESTIN_hex1096   DESTIN_hex1097   DESTIN_hex1099   DESTIN_hex1122  
        13.8816          13.3895          14.1328          13.2876  
 DESTIN_hex1123   DESTIN_hex1124   DESTIN_hex1125   DESTIN_hex1126  
        15.2477          13.4673          13.2046          11.1917  
 DESTIN_hex1127   DESTIN_hex1128   DESTIN_hex1132   DESTIN_hex1147  
        13.1157          14.0864          15.4129          11.9687  
 DESTIN_hex1148   DESTIN_hex1149   DESTIN_hex1150   DESTIN_hex1151  
        13.4197          13.3165          13.7303          13.4080  
 DESTIN_hex1152   DESTIN_hex1153   DESTIN_hex1154   DESTIN_hex1155  
        13.3569          13.9623          15.1502          10.5488  
 DESTIN_hex1158   DESTIN_hex1174   DESTIN_hex1175   DESTIN_hex1176  
        12.4294          13.9629          14.5278          13.9432  
 DESTIN_hex1177   DESTIN_hex1178   DESTIN_hex1179   DESTIN_hex1180  
        13.5715          13.3254          12.8898          11.1287  
 DESTIN_hex1181   DESTIN_hex1182   DESTIN_hex1183   DESTIN_hex1185  
        14.2527          13.6422          14.5874          13.4527  
 DESTIN_hex1201   DESTIN_hex1202   DESTIN_hex1203   DESTIN_hex1205  
        12.0043          13.5305          14.4590          14.9792  
 DESTIN_hex1206   DESTIN_hex1207   DESTIN_hex1209   DESTIN_hex1210  
        13.8298          14.1762          15.2396          13.8383  
 DESTIN_hex1211   DESTIN_hex1212   DESTIN_hex1228   DESTIN_hex1229  
        13.1655          12.4057          13.1903          14.0196  
 DESTIN_hex1230   DESTIN_hex1231   DESTIN_hex1232   DESTIN_hex1233  
        13.4703          15.4701          13.9083          15.4467  
 DESTIN_hex1235   DESTIN_hex1236   DESTIN_hex1237   DESTIN_hex1238  
        14.1002          12.6317          14.4225          11.9098  
 DESTIN_hex1239   DESTIN_hex1240   DESTIN_hex1255   DESTIN_hex1256  
        13.6738          10.1967          13.7902          13.6215  
 DESTIN_hex1257   DESTIN_hex1258   DESTIN_hex1259   DESTIN_hex1261  
        13.6511          14.8740          13.3939          13.2205  
 DESTIN_hex1262   DESTIN_hex1263   DESTIN_hex1264   DESTIN_hex1265  
        13.4087          12.1797          14.1239          11.7079  
 DESTIN_hex1266   DESTIN_hex1282   DESTIN_hex1283   DESTIN_hex1284  
        13.3640          13.6034          13.6593          13.2144  
 DESTIN_hex1285   DESTIN_hex1286   DESTIN_hex1287   DESTIN_hex1288  
        13.0913          12.3243          12.8438          13.4575  
 DESTIN_hex1289   DESTIN_hex1293   DESTIN_hex1308   DESTIN_hex1309  
        14.1662          11.6716          11.8862          14.1506  
 DESTIN_hex1310   DESTIN_hex1311   DESTIN_hex1312   DESTIN_hex1314  
        15.2957          14.5239          12.1798          13.8606  
 DESTIN_hex1315   DESTIN_hex1316   DESTIN_hex1318   DESTIN_hex1319  
        14.9416          13.2390          11.8784          16.5711  
 DESTIN_hex1320   DESTIN_hex1335   DESTIN_hex1336   DESTIN_hex1337  
        13.3271          11.3404          13.6637          13.4340  
 DESTIN_hex1339   DESTIN_hex1340   DESTIN_hex1341   DESTIN_hex1342  
        13.1902          12.0657          12.7264          13.2304  
 DESTIN_hex1343   DESTIN_hex1347   DESTIN_hex1348   DESTIN_hex1362  
        13.0954          12.7141          14.6476          13.4280  
 DESTIN_hex1363   DESTIN_hex1364   DESTIN_hex1366   DESTIN_hex1367  
        13.5328          13.1627          13.2957          11.7791  
 DESTIN_hex1368   DESTIN_hex1369   DESTIN_hex1370   DESTIN_hex1372  
        14.4955          13.6648          13.8490          12.5579  
 DESTIN_hex1374   DESTIN_hex1375   DESTIN_hex1389   DESTIN_hex1390  
        13.6641          14.3104          13.6094          13.3608  
 DESTIN_hex1391   DESTIN_hex1392   DESTIN_hex1394   DESTIN_hex1396  
        13.9611          12.5295          13.0263          12.4328  
 DESTIN_hex1397   DESTIN_hex1401   DESTIN_hex1402   DESTIN_hex1416  
        13.7456          14.8767          13.7464          12.0765  
 DESTIN_hex1417   DESTIN_hex1418   DESTIN_hex1419   DESTIN_hex1420  
        12.8464          12.3354          15.6755          14.6400  
 DESTIN_hex1422   DESTIN_hex1423   DESTIN_hex1426   DESTIN_hex1428  
        13.1047          13.6058          13.6410          13.9183  
 DESTIN_hex1429   DESTIN_hex1443   DESTIN_hex1444   DESTIN_hex1445  
        13.2036          13.8125          14.1620          13.6948  
 DESTIN_hex1446   DESTIN_hex1447   DESTIN_hex1455   DESTIN_hex1456  
        12.2689          13.3882          12.6872          13.9720  
 DESTIN_hex1457   DESTIN_hex1469   DESTIN_hex1470   DESTIN_hex1471  
        11.2195          14.1784          14.2988          13.7042  
 DESTIN_hex1472   DESTIN_hex1480   DESTIN_hex1482   DESTIN_hex1483  
        12.7725          10.7482          16.2566          14.6159  
 DESTIN_hex1496   DESTIN_hex1497   DESTIN_hex1498   DESTIN_hex1499  
        12.2314          13.7547          13.2438          13.4137  
 DESTIN_hex1500   DESTIN_hex1501   DESTIN_hex1507   DESTIN_hex1509  
        11.0782          12.4302          14.9635          12.6676  
 DESTIN_hex1510   DESTIN_hex1511   DESTIN_hex1523   DESTIN_hex1524  
        15.2631          12.5406          12.8216          13.8705  
 DESTIN_hex1525   DESTIN_hex1526   DESTIN_hex1527   DESTIN_hex1534  
        14.3609          11.7573          11.2943          11.5890  
 DESTIN_hex1535   DESTIN_hex1536   DESTIN_hex1537   DESTIN_hex1550  
         7.9383          13.9487          13.8730          14.1263  
 DESTIN_hex1551   DESTIN_hex1552   DESTIN_hex1553   DESTIN_hex1554  
        13.2048          12.1171          13.1765          12.2486  
 DESTIN_hex1555   DESTIN_hex1562   DESTIN_hex1563   DESTIN_hex1564  
        12.2079          13.1084          14.0883          14.0865  
 DESTIN_hex1565   DESTIN_hex1576   DESTIN_hex1578   DESTIN_hex1579  
        15.1598          13.3227          11.8166          14.4891  
 DESTIN_hex1581   DESTIN_hex1588   DESTIN_hex1590   DESTIN_hex1591  
        13.2367          12.1398          14.5358          14.2509  
 DESTIN_hex1592   DESTIN_hex1604   DESTIN_hex1605   DESTIN_hex1606  
        13.3976          14.7953          13.5797          13.5601  
 DESTIN_hex1607   DESTIN_hex1616   DESTIN_hex1617   DESTIN_hex1618  
        12.0099          12.5025          12.1974          15.0579  
 DESTIN_hex1619   DESTIN_hex1620   DESTIN_hex1630   DESTIN_hex1631  
        14.0223          13.8563          11.9991          13.5156  
 DESTIN_hex1632   DESTIN_hex1633   DESTIN_hex1634   DESTIN_hex1635  
        13.0198          11.7210          13.3365          13.7230  
 DESTIN_hex1642   DESTIN_hex1644   DESTIN_hex1645   DESTIN_hex1646  
        10.1568          14.6458          14.0228          14.2697  
 DESTIN_hex1647   DESTIN_hex1658   DESTIN_hex1659   DESTIN_hex1660  
        14.0343          13.1880          13.8071          13.0937  
 DESTIN_hex1661   DESTIN_hex1662   DESTIN_hex1669   DESTIN_hex1670  
        11.8361          12.7079           9.6920          13.4623  
 DESTIN_hex1672   DESTIN_hex1673   DESTIN_hex1674   DESTIN_hex1684  
        14.2915          15.6812          14.2046          13.4626  
 DESTIN_hex1685   DESTIN_hex1686   DESTIN_hex1687   DESTIN_hex1688  
        13.1922          13.6886          12.5444          12.6446  
 DESTIN_hex1689   DESTIN_hex1695   DESTIN_hex1699   DESTIN_hex1700  
        11.8531          11.5480          13.7156          13.6532  
 DESTIN_hex1701   DESTIN_hex1712   DESTIN_hex1713   DESTIN_hex1714  
        14.4362          12.5773          14.0128          12.6606  
 DESTIN_hex1716   DESTIN_hex1717   DESTIN_hex1723   DESTIN_hex1726  
        13.2089          11.2371          12.0347          13.5681  
 DESTIN_hex1727   DESTIN_hex1728   DESTIN_hex1737   DESTIN_hex1738  
        14.3827          14.6241          12.4263          13.3865  
 DESTIN_hex1739   DESTIN_hex1740   DESTIN_hex1741   DESTIN_hex1743  
        14.6508          12.8144          13.3508          12.0514  
 DESTIN_hex1744   DESTIN_hex1748   DESTIN_hex1749   DESTIN_hex1753  
        10.8848          11.5980          12.3541          14.9806  
 DESTIN_hex1754   DESTIN_hex1764   DESTIN_hex1765   DESTIN_hex1766  
        13.9446          11.6480          14.4058          13.6287  
 DESTIN_hex1767   DESTIN_hex1768   DESTIN_hex1770   DESTIN_hex1771  
        13.4916          11.8583          11.9827          11.2969  
 DESTIN_hex1776   DESTIN_hex1777   DESTIN_hex1778   DESTIN_hex1780  
        14.0179          13.2484          12.1699          12.5041  
 DESTIN_hex1781   DESTIN_hex1792   DESTIN_hex1793   DESTIN_hex1794  
        13.7960          12.6990          14.3921          13.1541  
 DESTIN_hex1795   DESTIN_hex1796   DESTIN_hex1798   DESTIN_hex1800  
        13.1300          14.3351          10.3002          12.7716  
 DESTIN_hex1802   DESTIN_hex1804   DESTIN_hex1805   DESTIN_hex1806  
        12.7463          11.4006          12.4499          13.0395  
 DESTIN_hex1807   DESTIN_hex1808   DESTIN_hex1818   DESTIN_hex1820  
        12.7992          12.5550          13.7116          13.1374  
 DESTIN_hex1821   DESTIN_hex1822   DESTIN_hex1823   DESTIN_hex1824  
        14.3226          13.1986          12.6709          14.3778  
 DESTIN_hex1827   DESTIN_hex1828   DESTIN_hex1829   DESTIN_hex1831  
        12.9457          13.0253          14.0894          12.5302  
 DESTIN_hex1833   DESTIN_hex1834   DESTIN_hex1835   DESTIN_hex1846  
        14.3051          14.5798          12.9235          11.0169  
 DESTIN_hex1847   DESTIN_hex1848   DESTIN_hex1850   DESTIN_hex1852  
        12.6737          12.6173          13.9007          10.8967  
 DESTIN_hex1853   DESTIN_hex1854   DESTIN_hex1855   DESTIN_hex1856  
        13.7059          13.3990          11.8533           9.9556  
 DESTIN_hex1857   DESTIN_hex1858   DESTIN_hex1859   DESTIN_hex1860  
        10.9965          12.4239          13.2079          13.7524  
 DESTIN_hex1861   DESTIN_hex1862   DESTIN_hex1874   DESTIN_hex1875  
        13.2023          11.9624          13.4054          12.6134  
 DESTIN_hex1877   DESTIN_hex1878   DESTIN_hex1879   DESTIN_hex1881  
        13.8031          13.7337          12.7227           8.6582  
 DESTIN_hex1882   DESTIN_hex1883   DESTIN_hex1884   DESTIN_hex1886  
        14.1347          12.7129          12.4042          15.5700  
 DESTIN_hex1887   DESTIN_hex1888   DESTIN_hex1889   DESTIN_hex1890  
        15.7323          12.8626           9.5260          12.8600  
 DESTIN_hex1900   DESTIN_hex1901   DESTIN_hex1902   DESTIN_hex1904  
        11.5891          14.7468          12.9973          13.5868  
 DESTIN_hex1905   DESTIN_hex1906   DESTIN_hex1907   DESTIN_hex1908  
        13.0966          13.0734          13.4908          12.9786  
 DESTIN_hex1909   DESTIN_hex1910   DESTIN_hex1912   DESTIN_hex1913  
        13.6113          12.5630          10.5257          13.7524  
 DESTIN_hex1914   DESTIN_hex1916   DESTIN_hex1928   DESTIN_hex1931  
        14.2767          13.2210          12.1565          13.3219  
 DESTIN_hex1932   DESTIN_hex1933   DESTIN_hex1934   DESTIN_hex1935  
        14.2068          14.0565          12.8231          12.9796  
 DESTIN_hex1936   DESTIN_hex1937   DESTIN_hex1940   DESTIN_hex1941  
        13.4770          13.7080          13.7274          12.9377  
 DESTIN_hex1942   DESTIN_hex1956   DESTIN_hex1958   DESTIN_hex1959  
        14.8060          12.5761          13.2117          13.6438  
 DESTIN_hex1960   DESTIN_hex1961   DESTIN_hex1962   DESTIN_hex1963  
        13.8650          15.1667          13.3226          13.2422  
 DESTIN_hex1964   DESTIN_hex1967   DESTIN_hex1968   DESTIN_hex1985  
        14.0996          14.2153          14.2727          13.5199  
 DESTIN_hex1986   DESTIN_hex1987   DESTIN_hex1988   DESTIN_hex1989  
        12.7262          15.0961          12.8103          13.2272  
 DESTIN_hex1990   DESTIN_hex1991   DESTIN_hex1992   DESTIN_hex1994  
        15.2396          13.9871          15.0704          11.8018  
 DESTIN_hex1995   DESTIN_hex2011   DESTIN_hex2012   DESTIN_hex2013  
        13.7114          14.5125          13.5706          13.5092  
 DESTIN_hex2014   DESTIN_hex2015   DESTIN_hex2016   DESTIN_hex2017  
        13.4380          13.6135          13.5717          13.9404  
 DESTIN_hex2021   DESTIN_hex2039   DESTIN_hex2040   DESTIN_hex2041  
        12.8714          13.5765          13.1415          13.9714  
 DESTIN_hex2042   DESTIN_hex2043   DESTIN_hex2044   DESTIN_hex2046  
        13.3666          13.8333          13.4567          12.9725  
 DESTIN_hex2047   DESTIN_hex2049   DESTIN_hex2064   DESTIN_hex2066  
        13.1752          11.7674          13.6911          13.2421  
 DESTIN_hex2067   DESTIN_hex2068   DESTIN_hex2069   DESTIN_hex2070  
        13.0200          13.4438          11.8850          13.4040  
 DESTIN_hex2071   DESTIN_hex2072   DESTIN_hex2073   DESTIN_hex2092  
        15.2555          10.6187           9.7686          13.5636  
 DESTIN_hex2094   DESTIN_hex2095   DESTIN_hex2096   DESTIN_hex2097  
        13.4777          14.2786          12.5317          13.1142  
 DESTIN_hex2098   DESTIN_hex2101   DESTIN_hex2102   DESTIN_hex2120  
        13.3123          13.2088          13.0470          14.5425  
 DESTIN_hex2121   DESTIN_hex2122   DESTIN_hex2123   DESTIN_hex2124  
        13.9926          11.4348          12.5857          12.9995  
 DESTIN_hex2125   DESTIN_hex2126   DESTIN_hex2128   DESTIN_hex2129  
        14.5384          12.2451          11.8989          12.8071  
 DESTIN_hex2146   DESTIN_hex2147   DESTIN_hex2148   DESTIN_hex2149  
        12.8465          14.0754          13.9985          14.2438  
 DESTIN_hex2150   DESTIN_hex2151   DESTIN_hex2152   DESTIN_hex2153  
        11.8753          12.1934          14.2334          13.1575  
 DESTIN_hex2154   DESTIN_hex2155   DESTIN_hex2172   DESTIN_hex2174  
        12.3190          12.1840          12.8111          12.3976  
 DESTIN_hex2175   DESTIN_hex2176   DESTIN_hex2177   DESTIN_hex2178  
        14.5177          13.6586          15.0433          12.1886  
 DESTIN_hex2179   DESTIN_hex2180   DESTIN_hex2181   DESTIN_hex2182  
        14.1259          13.4512          13.8789          12.4131  
 DESTIN_hex2200   DESTIN_hex2201   DESTIN_hex2202   DESTIN_hex2203  
        13.7590          13.4900          14.3003          13.6637  
 DESTIN_hex2204   DESTIN_hex2205   DESTIN_hex2206   DESTIN_hex2207  
        13.9309          13.2037          13.9737          13.1866  
 DESTIN_hex2208   DESTIN_hex2209   DESTIN_hex2227   DESTIN_hex2228  
        13.4165          12.2996          12.8405          13.8410  
 DESTIN_hex2229   DESTIN_hex2230   DESTIN_hex2231   DESTIN_hex2233  
        13.9487          13.6259          12.9190          14.0932  
 DESTIN_hex2234   DESTIN_hex2235   DESTIN_hex2254   DESTIN_hex2255  
         9.7766          12.0997          13.2871          13.1440  
 DESTIN_hex2256   DESTIN_hex2257   DESTIN_hex2258   DESTIN_hex2259  
        13.1739          13.9012          12.4228          12.3300  
 DESTIN_hex2260   DESTIN_hex2261   DESTIN_hex2262   DESTIN_hex2281  
        13.2643          13.4979          12.6110          12.9241  
 DESTIN_hex2282   DESTIN_hex2283   DESTIN_hex2284   DESTIN_hex2285  
        14.2572          13.0342          13.8287          13.8584  
 DESTIN_hex2286   DESTIN_hex2287   DESTIN_hex2288   DESTIN_hex2308  
        12.8893          14.0686          12.0884          12.7490  
 DESTIN_hex2309   DESTIN_hex2310   DESTIN_hex2311   DESTIN_hex2312  
        13.9970          13.5797          14.2365          12.8593  
 DESTIN_hex2313   DESTIN_hex2314   DESTIN_hex2315   DESTIN_hex2316  
        14.9929          14.4149          13.5987          13.6101  
 DESTIN_hex2317   DESTIN_hex2335   DESTIN_hex2336   DESTIN_hex2337  
        10.7871          13.1662          14.1296          14.0838  
 DESTIN_hex2338   DESTIN_hex2339   DESTIN_hex2340   DESTIN_hex2341  
        13.4680          13.9127          13.5105          14.1403  
 DESTIN_hex2342   DESTIN_hex2343   DESTIN_hex2362   DESTIN_hex2363  
        13.0961          13.0319          12.4832          12.8779  
 DESTIN_hex2364   DESTIN_hex2365   DESTIN_hex2366   DESTIN_hex2367  
        14.0424          14.5879          14.1155          13.6206  
 DESTIN_hex2368   DESTIN_hex2369   DESTIN_hex2370   DESTIN_hex2371  
        14.6860          14.6835          15.0438          13.1433  
 DESTIN_hex2389   DESTIN_hex2390   DESTIN_hex2391   DESTIN_hex2392  
        13.2115          14.3354          13.7586          13.8859  
 DESTIN_hex2393   DESTIN_hex2394   DESTIN_hex2395   DESTIN_hex2396  
        13.9571          11.9481          13.7798          13.5714  
 DESTIN_hex2397   DESTIN_hex2398   DESTIN_hex2416   DESTIN_hex2417  
        12.5695          13.0507          12.8510          12.5960  
 DESTIN_hex2418   DESTIN_hex2419   DESTIN_hex2420   DESTIN_hex2422  
        13.5184          14.5068          12.5757          12.9599  
 DESTIN_hex2423   DESTIN_hex2424   DESTIN_hex2425   DESTIN_hex2426  
        12.6744          14.3211          15.2228          11.4466  
 DESTIN_hex2443   DESTIN_hex2444   DESTIN_hex2445   DESTIN_hex2448  
        14.2726          13.9195          14.2025          14.0290  
 DESTIN_hex2449   DESTIN_hex2450   DESTIN_hex2451   DESTIN_hex2452  
        13.1388          13.1578          14.7505          12.3285  
 DESTIN_hex2471   DESTIN_hex2472   DESTIN_hex2473   DESTIN_hex2476  
        12.8688          13.1303          14.2144          13.5103  
 DESTIN_hex2478   DESTIN_hex2479   DESTIN_hex2480   DESTIN_hex2497  
        13.4770          12.3047          12.2055          13.3806  
 DESTIN_hex2498   DESTIN_hex2499   DESTIN_hex2500   DESTIN_hex2503  
        11.8992          12.4848          11.4497          10.8267  
 DESTIN_hex2504   DESTIN_hex2505   DESTIN_hex2507   DESTIN_hex2525  
        12.3775          13.4938          13.2852          12.7491  
 DESTIN_hex2526   DESTIN_hex2527   DESTIN_hex2531   DESTIN_hex2532  
        13.8812          13.8637          13.0255          13.2499  
 DESTIN_hex2533   DESTIN_hex2551   DESTIN_hex2552   DESTIN_hex2553  
        12.2317          13.9518          12.9144          12.9431  
 DESTIN_hex2554   DESTIN_hex2557   DESTIN_hex2559   DESTIN_hex2579  
        12.3572          14.0145          12.3499          12.9820  
 DESTIN_hex2580   DESTIN_hex2581   DESTIN_hex2584   DESTIN_hex2605  
        13.8011          13.1511          11.8718          11.7863  
 DESTIN_hex2606   DESTIN_hex2607   DESTIN_hex2608   DESTIN_hex2609  
        12.5519          13.7434          13.1212          11.8363  
 DESTIN_hex2610   DESTIN_hex2611   DESTIN_hex2633   DESTIN_hex2634  
        11.9555          13.6228          12.9920          15.3451  
 DESTIN_hex2635   DESTIN_hex2636   DESTIN_hex2637   DESTIN_hex2638  
        12.9173          13.4701          12.5763          13.5944  
 DESTIN_hex2660   DESTIN_hex2661   DESTIN_hex2662   DESTIN_hex2663  
        12.9251          13.7092          12.9374          14.2385  
 DESTIN_hex2664   DESTIN_hex2665   DESTIN_hex2687   DESTIN_hex2688  
        13.0015          14.8216          12.4246          13.2303  
 DESTIN_hex2689   DESTIN_hex2690   DESTIN_hex2691   DESTIN_hex2693  
        14.3009          14.2833          13.3935          14.0496  
 DESTIN_hex2714   DESTIN_hex2715   DESTIN_hex2716   DESTIN_hex2717  
        12.4477          13.2068          11.9023          13.8550  
 DESTIN_hex2718   DESTIN_hex2719   DESTIN_hex2742   DESTIN_hex2743  
        12.8316          13.3514          13.8379          13.8989  
 DESTIN_hex2744   DESTIN_hex2745   DESTIN_hex2746   DESTIN_hex2747  
        14.4275          14.4677          12.1291          13.8727  
 DESTIN_hex2768   DESTIN_hex2769   DESTIN_hex2770   DESTIN_hex2771  
        13.6953          14.5421          14.1612          15.4858  
 DESTIN_hex2772   DESTIN_hex2773   DESTIN_hex2795   DESTIN_hex2796  
        12.2559          13.1227          13.3481           9.2748  
 DESTIN_hex2797   DESTIN_hex2798   DESTIN_hex2799   DESTIN_hex2800  
        13.6826          12.2559          13.4771          14.6513  
 DESTIN_hex2801   DESTIN_hex2822   DESTIN_hex2823   DESTIN_hex2824  
        11.7239          11.8493          13.4126          13.9166  
 DESTIN_hex2825   DESTIN_hex2826   DESTIN_hex2827   DESTIN_hex2850  
        13.7060          13.5753          15.4188          12.3239  
 DESTIN_hex2851   DESTIN_hex2852   DESTIN_hex2853   DESTIN_hex2854  
        14.8842          13.1111          14.9197          13.8224  
 DESTIN_hex2877   DESTIN_hex2878   DESTIN_hex2879   DESTIN_hex2880  
        13.0461          13.9566          13.7919          13.0819  
 DESTIN_hex2881   DESTIN_hex2905   DESTIN_hex2906   DESTIN_hex2907  
        13.1206          13.9826          13.4416          12.9570  
 DESTIN_hex2908   DESTIN_hex2909   DESTIN_hex2931   DESTIN_hex2932  
        13.7013          12.6695          14.0643          11.6800  
 DESTIN_hex2933   DESTIN_hex2934   DESTIN_hex2959   DESTIN_hex2960  
        14.4355          13.2129          14.0803          15.6263  
 DESTIN_hex2961   DESTIN_hex2962   DESTIN_hex2963   DESTIN_hex2987  
        13.3369          13.8997          12.7523          12.9781  
 DESTIN_hex2988   DESTIN_hex2989   DESTIN_hex2990   DESTIN_hex3015  
        11.4311          13.8770          14.2282          13.0981  
 DESTIN_hex3016   DESTIN_hex3017   DESTIN_hex3040   DESTIN_hex3043  
        13.3934          13.3102          14.4035          13.5838  
 DESTIN_hex3044   DESTIN_hex3068   DESTIN_hex3069   DESTIN_hex3070  
        13.1546          12.8439          14.4420          13.3284  
 DESTIN_hex3072   DESTIN_hex3092   DESTIN_hex3098   DESTIN_hex3123  
        11.5923          13.8009          13.5305          15.2018  
 DESTIN_hex3126   DESTIN_hex3151   DESTIN_hex3152   DESTIN_hex3173  
        10.5858          15.2145          11.0133          13.4267  
 DESTIN_hex3178   DESTIN_hex3179   DESTIN_hex3205   DESTIN_hex3206  
        13.9030          13.8122          13.8542          14.7712  
 DESTIN_hex3232   DESTIN_hex3233   DESTIN_hex3286   DESTIN_hex3308  
        14.6082          14.5107          12.2417          14.6999  
 DESTIN_hex3419      o_biz_count   o_school_count      o_fin_count  
        14.1574          -0.1478           0.1042           0.1140  
     o_hc_count  o_busstop_count             dist  
         0.2321           0.5184          -1.1599  

Degrees of Freedom: 38484 Total (i.e. Null);  37673 Residual
Null Deviance:      271900000 
Residual Deviance: 34900000     AIC: 35130000
dbcSIM_morn_jan <- glm(formula = TOTAL_TRIPS ~ 
                ORIGIN_hex + 
                DESTIN_hex + 
                dist,
              family = poisson(link = "log"),
              data = flow_data_morn_jan_log,
              na.action = na.exclude)
dbcSIM_morn_jan

Call:  glm(formula = TOTAL_TRIPS ~ ORIGIN_hex + DESTIN_hex + dist, family = poisson(link = "log"), 
    data = flow_data_morn_jan_log, na.action = na.exclude)

Coefficients:
   (Intercept)   ORIGIN_hex146   ORIGIN_hex174   ORIGIN_hex175   ORIGIN_hex200  
     10.980818        2.534880        0.824098        0.934860        2.177427  
 ORIGIN_hex201   ORIGIN_hex202   ORIGIN_hex203   ORIGIN_hex227   ORIGIN_hex228  
      2.409531        3.897737        1.115566        2.495230        0.769795  
 ORIGIN_hex229   ORIGIN_hex230   ORIGIN_hex231   ORIGIN_hex254   ORIGIN_hex255  
      1.409318       -0.807101        1.853842        2.081461        3.049088  
 ORIGIN_hex256   ORIGIN_hex257   ORIGIN_hex258   ORIGIN_hex259   ORIGIN_hex281  
     -0.876508        2.245835       -0.404683        1.884094        1.900806  
 ORIGIN_hex282   ORIGIN_hex284   ORIGIN_hex285   ORIGIN_hex286   ORIGIN_hex312  
      1.440043        0.962218        0.304500        4.359779        1.523806  
 ORIGIN_hex313   ORIGIN_hex314   ORIGIN_hex336   ORIGIN_hex338   ORIGIN_hex339  
      1.352029        1.849177       -0.722486        3.152546        4.225376  
 ORIGIN_hex340   ORIGIN_hex366   ORIGIN_hex367   ORIGIN_hex391   ORIGIN_hex392  
     -0.160605        4.904959        1.480031       -1.082619        3.436352  
 ORIGIN_hex393   ORIGIN_hex394   ORIGIN_hex419   ORIGIN_hex420   ORIGIN_hex445  
      2.223218        1.743795        0.595773        1.042364        2.743020  
 ORIGIN_hex446   ORIGIN_hex447   ORIGIN_hex472   ORIGIN_hex473   ORIGIN_hex474  
      3.206061        2.230915        0.075563       -0.010086        1.019169  
 ORIGIN_hex499   ORIGIN_hex500   ORIGIN_hex526   ORIGIN_hex527   ORIGIN_hex528  
      1.134308        2.966763        2.059018        2.906523        0.750252  
 ORIGIN_hex552   ORIGIN_hex553   ORIGIN_hex554   ORIGIN_hex555   ORIGIN_hex581  
      0.857608       -0.762728        2.257885        0.380215        1.820827  
 ORIGIN_hex582   ORIGIN_hex607   ORIGIN_hex608   ORIGIN_hex609   ORIGIN_hex610  
      1.985641        1.287073        0.171083        5.157122        1.536126  
 ORIGIN_hex611   ORIGIN_hex634   ORIGIN_hex635   ORIGIN_hex636   ORIGIN_hex638  
      0.396762        3.193320        0.042185        1.597294        2.079796  
 ORIGIN_hex661   ORIGIN_hex662   ORIGIN_hex663   ORIGIN_hex664   ORIGIN_hex665  
     -1.652020       -0.746465        0.776143       -0.692017        2.329515  
 ORIGIN_hex689   ORIGIN_hex690   ORIGIN_hex692   ORIGIN_hex693   ORIGIN_hex715  
     -0.162317        1.890917        2.554858        1.515851        2.022276  
 ORIGIN_hex716   ORIGIN_hex717   ORIGIN_hex718   ORIGIN_hex719   ORIGIN_hex720  
      1.001410        2.331499        5.373349        2.045504        3.071603  
 ORIGIN_hex743   ORIGIN_hex744   ORIGIN_hex745   ORIGIN_hex746   ORIGIN_hex747  
      3.655058        1.890211        4.059309        4.568352        2.345477  
 ORIGIN_hex748   ORIGIN_hex769   ORIGIN_hex770   ORIGIN_hex771   ORIGIN_hex772  
      1.478670        0.418546        2.302033        2.238296        4.369100  
 ORIGIN_hex773   ORIGIN_hex774   ORIGIN_hex775   ORIGIN_hex777   ORIGIN_hex797  
      3.980779        2.510794        3.397433        1.647676        0.952309  
 ORIGIN_hex799   ORIGIN_hex800   ORIGIN_hex802   ORIGIN_hex803   ORIGIN_hex805  
      4.852310        5.688945        1.036043        1.199735        1.892102  
 ORIGIN_hex806   ORIGIN_hex823   ORIGIN_hex824   ORIGIN_hex825   ORIGIN_hex826  
      2.584054        2.494711        1.028400        2.966826        5.515282  
 ORIGIN_hex827   ORIGIN_hex829   ORIGIN_hex833   ORIGIN_hex851   ORIGIN_hex852  
      4.441593       -0.242514       -1.299497       -0.506321        0.936148  
 ORIGIN_hex853   ORIGIN_hex854   ORIGIN_hex856   ORIGIN_hex861   ORIGIN_hex862  
      2.833085        3.711338       -0.412673        1.057568        1.105572  
 ORIGIN_hex878   ORIGIN_hex879   ORIGIN_hex880   ORIGIN_hex881   ORIGIN_hex888  
      0.886843        1.771735        3.494876        3.064215        2.302543  
 ORIGIN_hex889   ORIGIN_hex905   ORIGIN_hex906   ORIGIN_hex907   ORIGIN_hex908  
      2.175533        0.255213        0.718530        1.765841        5.193164  
 ORIGIN_hex910   ORIGIN_hex932   ORIGIN_hex933   ORIGIN_hex934   ORIGIN_hex935  
      1.980329        2.185409        2.064911        3.053577        4.332806  
 ORIGIN_hex937   ORIGIN_hex959   ORIGIN_hex960   ORIGIN_hex961   ORIGIN_hex962  
      3.502581        2.419808        3.237208        4.131943        4.708145  
 ORIGIN_hex986   ORIGIN_hex987   ORIGIN_hex988   ORIGIN_hex989   ORIGIN_hex991  
     -0.594869        4.865184        3.838557        4.955152        0.836652  
ORIGIN_hex1013  ORIGIN_hex1014  ORIGIN_hex1015  ORIGIN_hex1016  ORIGIN_hex1042  
      1.081226        2.674467        4.317390        3.397214        3.103784  
ORIGIN_hex1043  ORIGIN_hex1045  ORIGIN_hex1067  ORIGIN_hex1068  ORIGIN_hex1069  
      4.384150        2.057127        2.530352        2.643675        1.619216  
ORIGIN_hex1070  ORIGIN_hex1071  ORIGIN_hex1073  ORIGIN_hex1078  ORIGIN_hex1093  
      4.331561        3.425493        2.685057        0.263353        0.364006  
ORIGIN_hex1094  ORIGIN_hex1095  ORIGIN_hex1096  ORIGIN_hex1097  ORIGIN_hex1099  
      3.707053        1.122284        4.486743        3.854270        5.312180  
ORIGIN_hex1122  ORIGIN_hex1123  ORIGIN_hex1124  ORIGIN_hex1125  ORIGIN_hex1126  
      4.819235        4.598302        4.340627        4.817122        4.232577  
ORIGIN_hex1127  ORIGIN_hex1128  ORIGIN_hex1132  ORIGIN_hex1147  ORIGIN_hex1148  
      5.084054        5.139098       -0.575178        1.161976        3.017361  
ORIGIN_hex1149  ORIGIN_hex1150  ORIGIN_hex1151  ORIGIN_hex1152  ORIGIN_hex1153  
      2.685242        4.931409        4.592692        4.664510        5.444633  
ORIGIN_hex1154  ORIGIN_hex1155  ORIGIN_hex1158  ORIGIN_hex1174  ORIGIN_hex1175  
      4.849996        1.990201        1.589374        1.457195        1.698756  
ORIGIN_hex1176  ORIGIN_hex1177  ORIGIN_hex1178  ORIGIN_hex1179  ORIGIN_hex1180  
      3.366514        2.273473        4.509007        3.796817        4.054698  
ORIGIN_hex1181  ORIGIN_hex1182  ORIGIN_hex1183  ORIGIN_hex1185  ORIGIN_hex1201  
      4.498678        4.670366        4.459690        0.840194       -0.156348  
ORIGIN_hex1202  ORIGIN_hex1203  ORIGIN_hex1205  ORIGIN_hex1206  ORIGIN_hex1207  
      3.682691        2.347199        5.023768        4.713589        4.341518  
ORIGIN_hex1209  ORIGIN_hex1210  ORIGIN_hex1211  ORIGIN_hex1212  ORIGIN_hex1228  
      4.769949        1.195674        1.305209        0.627593       -0.194014  
ORIGIN_hex1229  ORIGIN_hex1230  ORIGIN_hex1231  ORIGIN_hex1232  ORIGIN_hex1233  
      1.412278        3.888556        4.437546        4.539968        3.290813  
ORIGIN_hex1235  ORIGIN_hex1236  ORIGIN_hex1237  ORIGIN_hex1238  ORIGIN_hex1239  
      4.527561        3.622469        3.039277        0.299721       -1.170510  
ORIGIN_hex1255  ORIGIN_hex1256  ORIGIN_hex1257  ORIGIN_hex1258  ORIGIN_hex1259  
      3.229250        3.273177        1.587700        3.495813        4.265789  
ORIGIN_hex1261  ORIGIN_hex1262  ORIGIN_hex1263  ORIGIN_hex1264  ORIGIN_hex1265  
      4.216923        4.527312        2.179231        2.045504        0.607466  
ORIGIN_hex1266  ORIGIN_hex1282  ORIGIN_hex1283  ORIGIN_hex1284  ORIGIN_hex1285  
      1.580070        3.890216        3.844509        3.540902        1.952178  
ORIGIN_hex1286  ORIGIN_hex1287  ORIGIN_hex1288  ORIGIN_hex1289  ORIGIN_hex1293  
      3.977757        3.731473        1.413760        4.667309        1.060849  
ORIGIN_hex1308  ORIGIN_hex1309  ORIGIN_hex1310  ORIGIN_hex1311  ORIGIN_hex1312  
      2.578533        4.856008        5.502309        1.490211        1.932177  
ORIGIN_hex1314  ORIGIN_hex1315  ORIGIN_hex1316  ORIGIN_hex1318  ORIGIN_hex1319  
      3.487597        4.759817        4.289367        2.250716        3.924994  
ORIGIN_hex1320  ORIGIN_hex1335  ORIGIN_hex1336  ORIGIN_hex1337  ORIGIN_hex1338  
      3.473655       -1.018914        3.050473        4.351809       -0.319364  
ORIGIN_hex1339  ORIGIN_hex1340  ORIGIN_hex1341  ORIGIN_hex1342  ORIGIN_hex1343  
      2.459803        2.093102        3.595312        2.902019        4.837947  
ORIGIN_hex1347  ORIGIN_hex1348  ORIGIN_hex1362  ORIGIN_hex1363  ORIGIN_hex1364  
      0.033468        5.379167        2.759428        3.624323        3.534140  
ORIGIN_hex1366  ORIGIN_hex1367  ORIGIN_hex1368  ORIGIN_hex1369  ORIGIN_hex1370  
      3.405029        1.658552        2.721627        4.916971        5.603169  
ORIGIN_hex1372  ORIGIN_hex1374  ORIGIN_hex1375  ORIGIN_hex1389  ORIGIN_hex1390  
      0.097565        3.278132        6.611089        2.851857        0.865114  
ORIGIN_hex1391  ORIGIN_hex1392  ORIGIN_hex1394  ORIGIN_hex1396  ORIGIN_hex1397  
      2.833092        3.134297        3.135025        4.385814        4.282080  
ORIGIN_hex1401  ORIGIN_hex1402  ORIGIN_hex1416  ORIGIN_hex1417  ORIGIN_hex1418  
      4.637416        4.919240       -0.391964        1.526110        2.530784  
ORIGIN_hex1419  ORIGIN_hex1420  ORIGIN_hex1422  ORIGIN_hex1423  ORIGIN_hex1426  
      2.139970        3.920001        2.153528        5.228645        2.360671  
ORIGIN_hex1428  ORIGIN_hex1429  ORIGIN_hex1443  ORIGIN_hex1444  ORIGIN_hex1445  
      3.900522        4.331370        1.785651        0.825941        3.866712  
ORIGIN_hex1446  ORIGIN_hex1447  ORIGIN_hex1455  ORIGIN_hex1456  ORIGIN_hex1457  
      1.842424        4.741014        4.138092        4.622037        0.559967  
ORIGIN_hex1469  ORIGIN_hex1470  ORIGIN_hex1471  ORIGIN_hex1472  ORIGIN_hex1480  
      3.872240        3.518348        4.387514        2.503391        0.495410  
ORIGIN_hex1482  ORIGIN_hex1483  ORIGIN_hex1496  ORIGIN_hex1497  ORIGIN_hex1498  
      5.834063        4.231825        2.025275        0.251268        2.534551  
ORIGIN_hex1499  ORIGIN_hex1500  ORIGIN_hex1501  ORIGIN_hex1507  ORIGIN_hex1509  
      4.039730        2.057950        3.064937        1.256701        3.034660  
ORIGIN_hex1510  ORIGIN_hex1511  ORIGIN_hex1523  ORIGIN_hex1524  ORIGIN_hex1525  
      4.192265        2.186226        2.261842        1.813439        4.056804  
ORIGIN_hex1526  ORIGIN_hex1527  ORIGIN_hex1534  ORIGIN_hex1535  ORIGIN_hex1536  
      2.179619        1.942516       -0.298515       -1.039585        4.537005  
ORIGIN_hex1537  ORIGIN_hex1550  ORIGIN_hex1551  ORIGIN_hex1552  ORIGIN_hex1553  
      4.041584        2.700557        2.809404        1.203969        3.384773  
ORIGIN_hex1554  ORIGIN_hex1555  ORIGIN_hex1562  ORIGIN_hex1563  ORIGIN_hex1564  
      2.759604        2.010867        2.220719        4.487682        4.964105  
ORIGIN_hex1565  ORIGIN_hex1576  ORIGIN_hex1578  ORIGIN_hex1579  ORIGIN_hex1581  
      3.910876        1.951382        2.513369        4.349064        3.121255  
ORIGIN_hex1588  ORIGIN_hex1590  ORIGIN_hex1591  ORIGIN_hex1592  ORIGIN_hex1604  
      0.072135        4.931211        4.554445        0.792886        2.585754  
ORIGIN_hex1605  ORIGIN_hex1606  ORIGIN_hex1607  ORIGIN_hex1616  ORIGIN_hex1617  
      3.662753        2.989594        2.460610        1.721642        3.785801  
ORIGIN_hex1618  ORIGIN_hex1619  ORIGIN_hex1620  ORIGIN_hex1630  ORIGIN_hex1631  
      5.303060        4.413814        1.996356        1.613989        2.734425  
ORIGIN_hex1632  ORIGIN_hex1633  ORIGIN_hex1634  ORIGIN_hex1635  ORIGIN_hex1642  
      4.224704        3.036204        3.459201        2.681545        0.565307  
ORIGIN_hex1644  ORIGIN_hex1645  ORIGIN_hex1646  ORIGIN_hex1647  ORIGIN_hex1658  
      4.091382        3.892780        2.702577       -1.509909        3.665024  
ORIGIN_hex1659  ORIGIN_hex1660  ORIGIN_hex1661  ORIGIN_hex1662  ORIGIN_hex1669  
      3.956708        3.032056        1.933828        2.972417       -0.147848  
ORIGIN_hex1670  ORIGIN_hex1672  ORIGIN_hex1673  ORIGIN_hex1674  ORIGIN_hex1684  
      1.395579        3.434307        1.922288        2.560723        4.317317  
ORIGIN_hex1685  ORIGIN_hex1686  ORIGIN_hex1687  ORIGIN_hex1688  ORIGIN_hex1689  
      3.250897        3.577697        1.712834        1.744665        2.245010  
ORIGIN_hex1695  ORIGIN_hex1699  ORIGIN_hex1700  ORIGIN_hex1701  ORIGIN_hex1712  
     -0.705992        3.586940        2.214992        2.255141        3.283000  
ORIGIN_hex1713  ORIGIN_hex1714  ORIGIN_hex1716  ORIGIN_hex1717  ORIGIN_hex1723  
      4.344688        1.650191        3.504148       -0.017440        3.109289  
ORIGIN_hex1726  ORIGIN_hex1727  ORIGIN_hex1728  ORIGIN_hex1738  ORIGIN_hex1739  
      2.200787        4.571862        2.789583        2.078923        3.511487  
ORIGIN_hex1740  ORIGIN_hex1741  ORIGIN_hex1743  ORIGIN_hex1744  ORIGIN_hex1748  
      1.901670        3.134121        1.630574        0.927914       -0.557381  
ORIGIN_hex1749  ORIGIN_hex1753  ORIGIN_hex1754  ORIGIN_hex1764  ORIGIN_hex1765  
      3.766983        4.956475        3.691240        1.869292        4.375216  
ORIGIN_hex1766  ORIGIN_hex1767  ORIGIN_hex1768  ORIGIN_hex1770  ORIGIN_hex1771  
      4.148753        3.519806        0.297050        1.573271        0.096568  
ORIGIN_hex1776  ORIGIN_hex1777  ORIGIN_hex1778  ORIGIN_hex1780  ORIGIN_hex1781  
      4.704148        3.066683        1.610342        2.757506        4.771580  
ORIGIN_hex1792  ORIGIN_hex1793  ORIGIN_hex1794  ORIGIN_hex1795  ORIGIN_hex1796  
      3.434403        3.946504        3.216681        1.291222        2.393422  
ORIGIN_hex1798  ORIGIN_hex1800  ORIGIN_hex1802  ORIGIN_hex1804  ORIGIN_hex1805  
      0.039541        1.816288        0.861594        0.466976        3.139356  
ORIGIN_hex1806  ORIGIN_hex1807  ORIGIN_hex1808  ORIGIN_hex1818  ORIGIN_hex1820  
      4.162416        4.611725        0.983290       -0.608846        3.893150  
ORIGIN_hex1821  ORIGIN_hex1822  ORIGIN_hex1823  ORIGIN_hex1824  ORIGIN_hex1827  
      4.539900        2.689754        2.690088        3.499945        3.213193  
ORIGIN_hex1828  ORIGIN_hex1829  ORIGIN_hex1831  ORIGIN_hex1833  ORIGIN_hex1834  
      3.344472        2.910821        2.860947        4.960240        4.096737  
ORIGIN_hex1835  ORIGIN_hex1846  ORIGIN_hex1847  ORIGIN_hex1848  ORIGIN_hex1850  
      4.451531        0.861514        4.185316        2.980719        3.277208  
ORIGIN_hex1852  ORIGIN_hex1853  ORIGIN_hex1854  ORIGIN_hex1855  ORIGIN_hex1856  
      0.861725        3.381252        3.405175        2.983983        1.638907  
ORIGIN_hex1857  ORIGIN_hex1858  ORIGIN_hex1859  ORIGIN_hex1860  ORIGIN_hex1861  
      0.337369        3.328527        4.342446        4.763029        5.173356  
ORIGIN_hex1862  ORIGIN_hex1874  ORIGIN_hex1875  ORIGIN_hex1877  ORIGIN_hex1878  
      2.347759        3.189762        3.124277        2.192321        2.361684  
ORIGIN_hex1879  ORIGIN_hex1881  ORIGIN_hex1882  ORIGIN_hex1883  ORIGIN_hex1884  
      2.205951        0.077980        3.902704        4.032877        2.521256  
ORIGIN_hex1886  ORIGIN_hex1887  ORIGIN_hex1888  ORIGIN_hex1889  ORIGIN_hex1890  
      5.171629        5.513000        4.684302        0.786369        2.189911  
ORIGIN_hex1900  ORIGIN_hex1901  ORIGIN_hex1902  ORIGIN_hex1904  ORIGIN_hex1905  
      1.333171        1.783573        2.622939        2.066387        2.495096  
ORIGIN_hex1906  ORIGIN_hex1907  ORIGIN_hex1908  ORIGIN_hex1909  ORIGIN_hex1910  
      2.966967        3.687757        2.911969        4.164002        3.418358  
ORIGIN_hex1912  ORIGIN_hex1913  ORIGIN_hex1914  ORIGIN_hex1916  ORIGIN_hex1928  
      2.352548        4.187559        5.320344        4.358871        2.395471  
ORIGIN_hex1931  ORIGIN_hex1932  ORIGIN_hex1933  ORIGIN_hex1934  ORIGIN_hex1935  
      3.708931        3.639355        2.711868        1.840742        4.415936  
ORIGIN_hex1936  ORIGIN_hex1937  ORIGIN_hex1940  ORIGIN_hex1941  ORIGIN_hex1942  
      4.179944        4.195939        5.507919        3.819359        2.969129  
ORIGIN_hex1956  ORIGIN_hex1958  ORIGIN_hex1959  ORIGIN_hex1960  ORIGIN_hex1961  
      3.130609        3.646365        4.131545        4.284314        3.749243  
ORIGIN_hex1962  ORIGIN_hex1963  ORIGIN_hex1964  ORIGIN_hex1967  ORIGIN_hex1968  
      4.407674        3.324466        2.577032        5.983766        5.813973  
ORIGIN_hex1985  ORIGIN_hex1986  ORIGIN_hex1987  ORIGIN_hex1988  ORIGIN_hex1989  
      2.611128        3.236142        4.709594        3.325863        4.241385  
ORIGIN_hex1990  ORIGIN_hex1991  ORIGIN_hex1992  ORIGIN_hex1994  ORIGIN_hex1995  
      4.750047        5.323873        2.482277        4.305914        6.312007  
ORIGIN_hex2011  ORIGIN_hex2012  ORIGIN_hex2013  ORIGIN_hex2014  ORIGIN_hex2015  
      4.221156        3.387190        3.107106        3.629969        3.260768  
ORIGIN_hex2016  ORIGIN_hex2017  ORIGIN_hex2021  ORIGIN_hex2039  ORIGIN_hex2040  
      3.567880        3.712135        4.317648        3.734127        3.980085  
ORIGIN_hex2041  ORIGIN_hex2042  ORIGIN_hex2043  ORIGIN_hex2044  ORIGIN_hex2046  
      5.473561        3.836117        2.609310        4.610117        2.998943  
ORIGIN_hex2047  ORIGIN_hex2049  ORIGIN_hex2064  ORIGIN_hex2066  ORIGIN_hex2067  
     -0.343920        4.500331        1.669228        2.976630        4.068397  
ORIGIN_hex2068  ORIGIN_hex2069  ORIGIN_hex2070  ORIGIN_hex2071  ORIGIN_hex2072  
      3.671443        2.042024        4.608052        3.576635        1.967653  
ORIGIN_hex2073  ORIGIN_hex2092  ORIGIN_hex2094  ORIGIN_hex2095  ORIGIN_hex2096  
      2.410040        1.276405        4.057384        4.088179        1.748472  
ORIGIN_hex2097  ORIGIN_hex2098  ORIGIN_hex2101  ORIGIN_hex2102  ORIGIN_hex2120  
      2.856235        3.391394        1.895378        2.236114        2.951067  
ORIGIN_hex2121  ORIGIN_hex2122  ORIGIN_hex2123  ORIGIN_hex2124  ORIGIN_hex2125  
      3.034094        1.352452        3.388017        3.486673        2.567800  
ORIGIN_hex2126  ORIGIN_hex2128  ORIGIN_hex2129  ORIGIN_hex2146  ORIGIN_hex2147  
      2.251782        0.210859        0.865806        4.091288        3.591498  
ORIGIN_hex2148  ORIGIN_hex2149  ORIGIN_hex2150  ORIGIN_hex2151  ORIGIN_hex2152  
      4.327804        3.756655        2.333797        2.917602        3.994129  
ORIGIN_hex2153  ORIGIN_hex2154  ORIGIN_hex2155  ORIGIN_hex2172  ORIGIN_hex2174  
      1.269130        4.518800       -0.591811        3.575224        3.090455  
ORIGIN_hex2175  ORIGIN_hex2176  ORIGIN_hex2177  ORIGIN_hex2178  ORIGIN_hex2179  
      4.270177        3.676049        4.782969        3.842973        3.599383  
ORIGIN_hex2180  ORIGIN_hex2181  ORIGIN_hex2182  ORIGIN_hex2200  ORIGIN_hex2201  
      3.949207        4.730971        1.831131        3.075210        4.108008  
ORIGIN_hex2202  ORIGIN_hex2203  ORIGIN_hex2204  ORIGIN_hex2205  ORIGIN_hex2206  
      2.099593        4.247287        3.067980        3.062863        4.313331  
ORIGIN_hex2207  ORIGIN_hex2208  ORIGIN_hex2209  ORIGIN_hex2227  ORIGIN_hex2228  
      3.640064        4.828026        0.516509        2.541523        4.047724  
ORIGIN_hex2229  ORIGIN_hex2230  ORIGIN_hex2231  ORIGIN_hex2233  ORIGIN_hex2234  
      3.392543        2.967615        3.361253        4.814569        1.789997  
ORIGIN_hex2235  ORIGIN_hex2254  ORIGIN_hex2255  ORIGIN_hex2256  ORIGIN_hex2257  
      5.556881        2.512600        3.385777        3.006399        2.775224  
ORIGIN_hex2258  ORIGIN_hex2259  ORIGIN_hex2260  ORIGIN_hex2261  ORIGIN_hex2262  
      3.138784        2.383623        4.486666        4.725175        4.337311  
ORIGIN_hex2281  ORIGIN_hex2282  ORIGIN_hex2283  ORIGIN_hex2284  ORIGIN_hex2285  
      3.455539        3.873991        3.022413        2.237645        4.414696  
ORIGIN_hex2286  ORIGIN_hex2287  ORIGIN_hex2288  ORIGIN_hex2308  ORIGIN_hex2309  
      3.425851        4.779540        3.791598        3.135143        4.168544  
ORIGIN_hex2310  ORIGIN_hex2311  ORIGIN_hex2312  ORIGIN_hex2313  ORIGIN_hex2314  
      3.504947        3.508459        1.486634        3.642060        4.205871  
ORIGIN_hex2315  ORIGIN_hex2316  ORIGIN_hex2317  ORIGIN_hex2335  ORIGIN_hex2336  
      3.623680        5.021617        3.394696        3.106755        3.701401  
ORIGIN_hex2337  ORIGIN_hex2338  ORIGIN_hex2339  ORIGIN_hex2340  ORIGIN_hex2341  
      2.793138        1.416061        3.872242        4.769319        4.275354  
ORIGIN_hex2342  ORIGIN_hex2343  ORIGIN_hex2362  ORIGIN_hex2363  ORIGIN_hex2364  
      4.341784        4.551880        2.291232        3.509611        0.609421  
ORIGIN_hex2365  ORIGIN_hex2366  ORIGIN_hex2367  ORIGIN_hex2368  ORIGIN_hex2369  
      1.643617        2.308049        3.497838        4.603510        4.480885  
ORIGIN_hex2370  ORIGIN_hex2371  ORIGIN_hex2389  ORIGIN_hex2390  ORIGIN_hex2391  
      4.775867        4.974740        2.858487        3.414103        3.469782  
ORIGIN_hex2392  ORIGIN_hex2393  ORIGIN_hex2394  ORIGIN_hex2395  ORIGIN_hex2396  
      0.928133        1.247454        3.055712        4.297536        4.664120  
ORIGIN_hex2397  ORIGIN_hex2398  ORIGIN_hex2416  ORIGIN_hex2417  ORIGIN_hex2418  
      4.211944        4.157683        3.084281        3.644113        3.153895  
ORIGIN_hex2419  ORIGIN_hex2420  ORIGIN_hex2422  ORIGIN_hex2423  ORIGIN_hex2424  
      3.099160        1.463219        4.300093        4.024002        5.098900  
ORIGIN_hex2425  ORIGIN_hex2426  ORIGIN_hex2443  ORIGIN_hex2444  ORIGIN_hex2445  
      4.795370        2.762037        3.596782        4.106561        4.260456  
ORIGIN_hex2448  ORIGIN_hex2449  ORIGIN_hex2450  ORIGIN_hex2451  ORIGIN_hex2452  
      1.397911        4.899703        4.220839        5.546948        1.734120  
ORIGIN_hex2471  ORIGIN_hex2472  ORIGIN_hex2473  ORIGIN_hex2476  ORIGIN_hex2478  
      3.202647        2.937821        4.240783        1.884600        4.067717  
ORIGIN_hex2479  ORIGIN_hex2480  ORIGIN_hex2497  ORIGIN_hex2498  ORIGIN_hex2499  
      1.460884        5.123325        3.894920        2.780290        4.002421  
ORIGIN_hex2500  ORIGIN_hex2503  ORIGIN_hex2504  ORIGIN_hex2505  ORIGIN_hex2507  
      0.374380       -1.009908        4.001453        3.957780        2.343449  
ORIGIN_hex2525  ORIGIN_hex2526  ORIGIN_hex2527  ORIGIN_hex2531  ORIGIN_hex2532  
      2.475110        3.159305        4.126186        1.162380        4.354323  
ORIGIN_hex2533  ORIGIN_hex2551  ORIGIN_hex2552  ORIGIN_hex2553  ORIGIN_hex2554  
      5.782036        3.274737        2.441787        2.686549        2.595483  
ORIGIN_hex2557  ORIGIN_hex2559  ORIGIN_hex2579  ORIGIN_hex2580  ORIGIN_hex2581  
      2.611853        3.856601        3.191321        4.443779        3.834050  
ORIGIN_hex2584  ORIGIN_hex2605  ORIGIN_hex2606  ORIGIN_hex2607  ORIGIN_hex2608  
      0.231559        3.183754        3.337580        3.911486        3.043299  
ORIGIN_hex2609  ORIGIN_hex2610  ORIGIN_hex2611  ORIGIN_hex2633  ORIGIN_hex2634  
      2.952960        1.248517       -0.394630        3.073908        4.367415  
ORIGIN_hex2635  ORIGIN_hex2636  ORIGIN_hex2637  ORIGIN_hex2638  ORIGIN_hex2660  
      4.708794        3.840360        2.597705        3.046089        3.386834  
ORIGIN_hex2661  ORIGIN_hex2662  ORIGIN_hex2663  ORIGIN_hex2664  ORIGIN_hex2665  
      4.157548        3.300930        4.923563        2.999805        3.622005  
ORIGIN_hex2687  ORIGIN_hex2688  ORIGIN_hex2689  ORIGIN_hex2690  ORIGIN_hex2691  
      2.974253        3.894190        4.088850        3.561782        4.936580  
ORIGIN_hex2693  ORIGIN_hex2714  ORIGIN_hex2715  ORIGIN_hex2716  ORIGIN_hex2717  
      4.204434        3.482046        4.431701        0.644460        3.637847  
ORIGIN_hex2718  ORIGIN_hex2719  ORIGIN_hex2742  ORIGIN_hex2743  ORIGIN_hex2744  
      3.201766        4.469295        4.209630        2.783458        4.142234  
ORIGIN_hex2745  ORIGIN_hex2746  ORIGIN_hex2747  ORIGIN_hex2768  ORIGIN_hex2769  
      3.868862        3.807725        3.845527        3.913134        4.189541  
ORIGIN_hex2770  ORIGIN_hex2771  ORIGIN_hex2772  ORIGIN_hex2773  ORIGIN_hex2795  
      2.538025        4.561654        3.554517        3.997367        0.586284  
ORIGIN_hex2796  ORIGIN_hex2797  ORIGIN_hex2798  ORIGIN_hex2799  ORIGIN_hex2800  
      2.763346        2.615887        3.366123        3.881218        3.673541  
ORIGIN_hex2801  ORIGIN_hex2822  ORIGIN_hex2823  ORIGIN_hex2824  ORIGIN_hex2825  
      1.256515        1.520884        1.380812        3.340400        4.343199  
ORIGIN_hex2826  ORIGIN_hex2827  ORIGIN_hex2850  ORIGIN_hex2851  ORIGIN_hex2852  
      3.433566        4.188345        2.582667        1.039964        3.786885  
ORIGIN_hex2853  ORIGIN_hex2854  ORIGIN_hex2877  ORIGIN_hex2878  ORIGIN_hex2879  
      4.399862        4.685242        1.756532        2.871276        4.182965  
ORIGIN_hex2880  ORIGIN_hex2881  ORIGIN_hex2905  ORIGIN_hex2906  ORIGIN_hex2907  
      3.817427        4.545683        2.897504        2.982983        4.054726  
ORIGIN_hex2908  ORIGIN_hex2909  ORIGIN_hex2931  ORIGIN_hex2932  ORIGIN_hex2933  
      3.781017        3.187033        0.738269       -1.381198        2.248220  
ORIGIN_hex2934  ORIGIN_hex2959  ORIGIN_hex2960  ORIGIN_hex2961  ORIGIN_hex2962  
      3.904443        1.106550        2.149012        2.873786        2.752890  
ORIGIN_hex2963  ORIGIN_hex2987  ORIGIN_hex2988  ORIGIN_hex2989  ORIGIN_hex2990  
      0.451792        0.259562        1.006769        1.190004        0.594611  
ORIGIN_hex3015  ORIGIN_hex3016  ORIGIN_hex3017  ORIGIN_hex3040  ORIGIN_hex3043  
      3.214873        1.912079       -0.308426        3.140817        1.704250  
ORIGIN_hex3044  ORIGIN_hex3068  ORIGIN_hex3069  ORIGIN_hex3070  ORIGIN_hex3072  
      1.112974        2.329006        3.133139        0.923669        1.104380  
ORIGIN_hex3092  ORIGIN_hex3098  ORIGIN_hex3123  ORIGIN_hex3126  ORIGIN_hex3151  
      4.075939        2.955526        4.080601       -2.504005        1.792646  
ORIGIN_hex3152  ORIGIN_hex3173  ORIGIN_hex3178  ORIGIN_hex3179  ORIGIN_hex3205  
     -1.751426        0.759087        1.717224        1.532741        2.141666  
ORIGIN_hex3206  ORIGIN_hex3232  ORIGIN_hex3233  ORIGIN_hex3286  ORIGIN_hex3308  
      2.353308        0.304538        1.611615       -0.190442        4.776053  
ORIGIN_hex3419   DESTIN_hex146   DESTIN_hex174   DESTIN_hex175   DESTIN_hex200  
      1.235811        3.131529        1.835557        1.103117        0.988923  
 DESTIN_hex201   DESTIN_hex202   DESTIN_hex203   DESTIN_hex227   DESTIN_hex228  
      3.154278        0.212599        1.505958       -2.070599        1.186491  
 DESTIN_hex229   DESTIN_hex230   DESTIN_hex231   DESTIN_hex254   DESTIN_hex255  
     -1.693932        1.484415       -1.753506        1.949040        0.269312  
 DESTIN_hex256   DESTIN_hex257   DESTIN_hex258   DESTIN_hex259   DESTIN_hex281  
      2.309039       -0.514872        0.311958        0.397968       -0.903210  
 DESTIN_hex282   DESTIN_hex284   DESTIN_hex285   DESTIN_hex286   DESTIN_hex312  
     -0.948154        0.689996        0.390322       -0.130020       -0.484307  
 DESTIN_hex313   DESTIN_hex314   DESTIN_hex336   DESTIN_hex338   DESTIN_hex339  
     -0.001543       -0.221069       -0.219152       -1.196336       -0.705744  
 DESTIN_hex340   DESTIN_hex366   DESTIN_hex367   DESTIN_hex391   DESTIN_hex392  
     -2.268574       -2.809525       -0.456242        0.607132       -1.072385  
 DESTIN_hex393   DESTIN_hex394   DESTIN_hex419   DESTIN_hex420   DESTIN_hex421  
      1.134123       -2.653804        2.027971       -0.834937       -1.684153  
 DESTIN_hex445   DESTIN_hex446   DESTIN_hex447   DESTIN_hex472   DESTIN_hex473  
      1.213256       -0.472019       -0.147024       -3.064025        0.412832  
 DESTIN_hex474   DESTIN_hex499   DESTIN_hex500   DESTIN_hex526   DESTIN_hex527  
     -0.254752       -2.132961        0.618552        0.811728        0.997374  
 DESTIN_hex528   DESTIN_hex552   DESTIN_hex553   DESTIN_hex554   DESTIN_hex555  
      2.532644       -0.279274       -1.633745        1.535260        0.461655  
 DESTIN_hex581   DESTIN_hex582   DESTIN_hex607   DESTIN_hex608   DESTIN_hex609  
      1.019520       -0.476367        0.428157        0.670654        0.986793  
 DESTIN_hex610   DESTIN_hex611   DESTIN_hex634   DESTIN_hex635   DESTIN_hex636  
      0.417720       -1.083678        1.796165       -0.259050       -1.017738  
 DESTIN_hex638   DESTIN_hex661   DESTIN_hex662   DESTIN_hex663   DESTIN_hex664  
      2.128928       -0.393481        2.034801       -0.229445        0.024154  
 DESTIN_hex665   DESTIN_hex689   DESTIN_hex690   DESTIN_hex692   DESTIN_hex693  
      0.268671        0.527105        0.345150       -0.938826       -0.850391  
 DESTIN_hex715   DESTIN_hex716   DESTIN_hex717   DESTIN_hex718   DESTIN_hex719  
      1.096810       -0.836270       -1.950775        0.215437       -0.298272  
 DESTIN_hex720   DESTIN_hex743   DESTIN_hex744   DESTIN_hex745   DESTIN_hex746  
     -0.656835       -0.691818        0.660310       -0.094526       -0.266537  
 DESTIN_hex747   DESTIN_hex748   DESTIN_hex769   DESTIN_hex770   DESTIN_hex771  
      1.976547       -1.496128        0.122448       -0.005945       -0.466806  
 DESTIN_hex772   DESTIN_hex773   DESTIN_hex774   DESTIN_hex775   DESTIN_hex776  
      0.842357       -1.660863       -0.653243       -0.229949       -2.787963  
 DESTIN_hex777   DESTIN_hex797   DESTIN_hex798   DESTIN_hex799   DESTIN_hex800  
     -1.240416        0.734995       -2.225065        1.102237       -0.457399  
 DESTIN_hex802   DESTIN_hex803   DESTIN_hex805   DESTIN_hex806   DESTIN_hex823  
     -1.743410       -1.290258       -2.137133        0.961325        0.775855  
 DESTIN_hex824   DESTIN_hex825   DESTIN_hex826   DESTIN_hex827   DESTIN_hex829  
      0.980428       -1.427134        1.833430       -0.054779       -2.655816  
 DESTIN_hex833   DESTIN_hex851   DESTIN_hex852   DESTIN_hex853   DESTIN_hex854  
     -0.815717       -1.208574        0.796962       -0.158095       -0.245333  
 DESTIN_hex856   DESTIN_hex861   DESTIN_hex862   DESTIN_hex878   DESTIN_hex879  
     -3.894825       -1.667727       -0.900522        0.909483        1.340062  
 DESTIN_hex880   DESTIN_hex881   DESTIN_hex888   DESTIN_hex889   DESTIN_hex905  
     -0.997150       -1.038668       -2.719344       -1.463926       -0.330989  
 DESTIN_hex906   DESTIN_hex907   DESTIN_hex908   DESTIN_hex910   DESTIN_hex932  
     -1.214854       -0.043767       -0.129528        0.826961       -0.072829  
 DESTIN_hex933   DESTIN_hex934   DESTIN_hex935   DESTIN_hex937   DESTIN_hex959  
     -0.330724        0.313422        0.349322        0.035169        1.706137  
 DESTIN_hex960   DESTIN_hex961   DESTIN_hex962   DESTIN_hex986   DESTIN_hex987  
      0.274108       -0.054293        2.027766       -2.170358        0.273713  
 DESTIN_hex988   DESTIN_hex989   DESTIN_hex991  DESTIN_hex1013  DESTIN_hex1014  
     -1.616084        0.249606       -0.445904       -0.580872       -1.681622  
DESTIN_hex1015  DESTIN_hex1016  DESTIN_hex1042  DESTIN_hex1043  DESTIN_hex1045  
     -2.437664       -0.390970        1.172524        0.361265       -2.220920  
DESTIN_hex1067  DESTIN_hex1068  DESTIN_hex1069  DESTIN_hex1070  DESTIN_hex1071  
      1.407051       -1.941602       -1.699221        0.072446       -0.491710  
DESTIN_hex1073  DESTIN_hex1078  DESTIN_hex1093  DESTIN_hex1094  DESTIN_hex1095  
     -1.682451       -0.448342        1.003208       -1.125150       -1.588421  
DESTIN_hex1096  DESTIN_hex1097  DESTIN_hex1099  DESTIN_hex1122  DESTIN_hex1123  
      0.332345       -0.289692        0.133587       -0.301752        1.783265  
DESTIN_hex1124  DESTIN_hex1125  DESTIN_hex1126  DESTIN_hex1127  DESTIN_hex1128  
     -0.077666       -0.567607       -2.633057       -0.893415       -0.051832  
DESTIN_hex1132  DESTIN_hex1147  DESTIN_hex1148  DESTIN_hex1149  DESTIN_hex1150  
      1.699906       -1.406752       -0.075278       -0.183970        0.140796  
DESTIN_hex1151  DESTIN_hex1152  DESTIN_hex1153  DESTIN_hex1154  DESTIN_hex1155  
     -0.235786       -0.474771       -0.064662        1.320815       -3.334494  
DESTIN_hex1158  DESTIN_hex1174  DESTIN_hex1175  DESTIN_hex1176  DESTIN_hex1177  
     -0.710809        0.680859        1.117939        0.424760       -0.018383  
DESTIN_hex1178  DESTIN_hex1179  DESTIN_hex1180  DESTIN_hex1181  DESTIN_hex1182  
     -0.279797       -0.899106       -2.622588        0.412416       -0.265158  
DESTIN_hex1183  DESTIN_hex1185  DESTIN_hex1201  DESTIN_hex1202  DESTIN_hex1203  
      0.222149        0.782387       -1.326146       -0.049529        0.950562  
DESTIN_hex1205  DESTIN_hex1206  DESTIN_hex1207  DESTIN_hex1209  DESTIN_hex1210  
      1.364942        0.018723        0.373592        1.240926        0.600661  
DESTIN_hex1211  DESTIN_hex1212  DESTIN_hex1228  DESTIN_hex1229  DESTIN_hex1230  
      0.283678       -0.749312       -0.159517        0.561319       -0.026880  
DESTIN_hex1231  DESTIN_hex1232  DESTIN_hex1233  DESTIN_hex1235  DESTIN_hex1236  
      1.716985        0.421773        1.659190        0.343240       -1.120068  
DESTIN_hex1237  DESTIN_hex1238  DESTIN_hex1239  DESTIN_hex1240  DESTIN_hex1255  
      0.926926       -1.269846        0.720136       -2.790795        0.378402  
DESTIN_hex1256  DESTIN_hex1257  DESTIN_hex1258  DESTIN_hex1259  DESTIN_hex1261  
      0.065844        0.062773        1.506142       -0.203811       -0.586288  
DESTIN_hex1262  DESTIN_hex1263  DESTIN_hex1264  DESTIN_hex1265  DESTIN_hex1266  
     -0.418960       -1.460957        0.586492       -1.775321        0.007684  
DESTIN_hex1282  DESTIN_hex1283  DESTIN_hex1284  DESTIN_hex1285  DESTIN_hex1286  
      0.224096        0.216752       -0.459747       -0.400724       -1.098425  
DESTIN_hex1287  DESTIN_hex1288  DESTIN_hex1289  DESTIN_hex1293  DESTIN_hex1308  
     -0.664155       -0.244972        0.410283       -2.102087       -1.216087  
DESTIN_hex1309  DESTIN_hex1310  DESTIN_hex1311  DESTIN_hex1312  DESTIN_hex1314  
      0.732221        1.853483        0.913934       -1.242072        0.534510  
DESTIN_hex1315  DESTIN_hex1316  DESTIN_hex1318  DESTIN_hex1319  DESTIN_hex1320  
      1.207600       -0.717151       -1.186604        2.751514       -1.496941  
DESTIN_hex1335  DESTIN_hex1336  DESTIN_hex1337  DESTIN_hex1339  DESTIN_hex1340  
     -1.660465        0.489742        0.121000       -0.048273       -1.221541  
DESTIN_hex1341  DESTIN_hex1342  DESTIN_hex1343  DESTIN_hex1347  DESTIN_hex1348  
     -0.676502       -0.430577       -0.768771       -1.064120       -0.030941  
DESTIN_hex1362  DESTIN_hex1363  DESTIN_hex1364  DESTIN_hex1366  DESTIN_hex1367  
      0.431911        0.180006       -0.097759        0.024038       -1.625332  
DESTIN_hex1368  DESTIN_hex1369  DESTIN_hex1370  DESTIN_hex1372  DESTIN_hex1374  
      0.734804       -0.184343       -0.355159       -0.434204       -0.450495  
DESTIN_hex1375  DESTIN_hex1389  DESTIN_hex1390  DESTIN_hex1391  DESTIN_hex1392  
      0.172460        0.541276        0.588159        0.758253       -0.659789  
DESTIN_hex1394  DESTIN_hex1396  DESTIN_hex1397  DESTIN_hex1401  DESTIN_hex1402  
     -0.379303       -1.642429       -0.226294        0.954300       -0.723437  
DESTIN_hex1416  DESTIN_hex1417  DESTIN_hex1418  DESTIN_hex1419  DESTIN_hex1420  
     -0.239009       -0.263476       -0.285904        2.465779        1.318445  
DESTIN_hex1422  DESTIN_hex1423  DESTIN_hex1426  DESTIN_hex1428  DESTIN_hex1429  
     -0.893354       -0.203063        0.534381       -0.007520       -1.426141  
DESTIN_hex1443  DESTIN_hex1444  DESTIN_hex1445  DESTIN_hex1446  DESTIN_hex1447  
      0.825913        1.056175        0.412056       -0.852618        0.075496  
DESTIN_hex1455  DESTIN_hex1456  DESTIN_hex1457  DESTIN_hex1469  DESTIN_hex1470  
     -1.239529       -0.363000       -2.902939        1.087447        1.289300  
DESTIN_hex1471  DESTIN_hex1472  DESTIN_hex1480  DESTIN_hex1482  DESTIN_hex1483  
      0.484235       -0.151144       -2.682322        2.187295        0.593422  
DESTIN_hex1496  DESTIN_hex1497  DESTIN_hex1498  DESTIN_hex1499  DESTIN_hex1500  
     -0.819370        1.196067        0.324666        0.222659       -1.920579  
DESTIN_hex1501  DESTIN_hex1507  DESTIN_hex1509  DESTIN_hex1510  DESTIN_hex1511  
     -0.879006        1.975123       -1.301508        1.250312       -1.671124  
DESTIN_hex1523  DESTIN_hex1524  DESTIN_hex1525  DESTIN_hex1526  DESTIN_hex1527  
     -0.259133        1.129089        1.282085       -1.181215       -1.826629  
DESTIN_hex1534  DESTIN_hex1535  DESTIN_hex1536  DESTIN_hex1537  DESTIN_hex1550  
     -2.117713       -5.772189        0.026436       -0.082669        1.046320  
DESTIN_hex1551  DESTIN_hex1552  DESTIN_hex1553  DESTIN_hex1554  DESTIN_hex1555  
      0.188851       -1.089098        0.168763       -0.579978       -0.995207  
DESTIN_hex1562  DESTIN_hex1563  DESTIN_hex1564  DESTIN_hex1565  DESTIN_hex1576  
     -0.679268        0.051807        0.170651        1.225576        0.375606  
DESTIN_hex1578  DESTIN_hex1579  DESTIN_hex1581  DESTIN_hex1588  DESTIN_hex1590  
     -1.176519        1.393734        0.075249       -1.150766        0.621163  
DESTIN_hex1591  DESTIN_hex1592  DESTIN_hex1604  DESTIN_hex1605  DESTIN_hex1606  
      0.345538       -0.274308        1.749194        0.570168        0.567604  
DESTIN_hex1607  DESTIN_hex1616  DESTIN_hex1617  DESTIN_hex1618  DESTIN_hex1619  
     -1.030018       -0.956429       -1.702538        1.119586        0.110686  
DESTIN_hex1620  DESTIN_hex1630  DESTIN_hex1631  DESTIN_hex1632  DESTIN_hex1633  
      0.398069       -1.132028        0.440802       -0.027310       -1.296216  
DESTIN_hex1634  DESTIN_hex1635  DESTIN_hex1642  DESTIN_hex1644  DESTIN_hex1645  
      0.372924        0.633922       -2.949817        0.666837        0.168066  
DESTIN_hex1646  DESTIN_hex1647  DESTIN_hex1658  DESTIN_hex1659  DESTIN_hex1660  
      0.496761        0.621142        0.192423        0.706918        0.187275  
DESTIN_hex1661  DESTIN_hex1662  DESTIN_hex1669  DESTIN_hex1670  DESTIN_hex1672  
     -1.204581       -0.391373       -3.744413       -0.151116        0.306203  
DESTIN_hex1673  DESTIN_hex1674  DESTIN_hex1684  DESTIN_hex1685  DESTIN_hex1686  
      1.778980        0.542143        0.248990        0.006064        0.684065  
DESTIN_hex1687  DESTIN_hex1688  DESTIN_hex1689  DESTIN_hex1695  DESTIN_hex1699  
     -0.433019       -0.273952       -1.257945       -1.791478       -0.086644  
DESTIN_hex1700  DESTIN_hex1701  DESTIN_hex1712  DESTIN_hex1713  DESTIN_hex1714  
     -0.232379        0.823391       -0.539452        0.989365       -0.308699  
DESTIN_hex1716  DESTIN_hex1717  DESTIN_hex1723  DESTIN_hex1726  DESTIN_hex1727  
      0.190472       -2.153571       -1.379036       -0.137762        0.580709  
DESTIN_hex1728  DESTIN_hex1737  DESTIN_hex1738  DESTIN_hex1739  DESTIN_hex1740  
      0.886630       -0.839594        0.161652        1.556783       -0.047010  
DESTIN_hex1741  DESTIN_hex1743  DESTIN_hex1744  DESTIN_hex1748  DESTIN_hex1749  
      0.368053       -0.963122       -2.224288       -3.788066       -1.212808  
DESTIN_hex1753  DESTIN_hex1754  DESTIN_hex1764  DESTIN_hex1765  DESTIN_hex1766  
      1.165507        0.175413       -1.061794        1.378347        0.451511  
DESTIN_hex1767  DESTIN_hex1768  DESTIN_hex1770  DESTIN_hex1771  DESTIN_hex1776  
      0.483119       -0.896557       -1.015924       -1.693260        0.088603  
DESTIN_hex1777  DESTIN_hex1778  DESTIN_hex1780  DESTIN_hex1781  DESTIN_hex1792  
     -0.562017       -1.697012       -1.309932       -0.025513       -0.469288  
DESTIN_hex1793  DESTIN_hex1794  DESTIN_hex1795  DESTIN_hex1796  DESTIN_hex1798  
      1.266470        0.222228        0.263063        1.277842       -2.894504  
DESTIN_hex1800  DESTIN_hex1802  DESTIN_hex1804  DESTIN_hex1805  DESTIN_hex1806  
     -0.023382       -1.309050       -2.583779       -1.484555       -0.882818  
DESTIN_hex1807  DESTIN_hex1808  DESTIN_hex1818  DESTIN_hex1820  DESTIN_hex1821  
     -1.074291       -1.395608        0.483598        0.020973        1.162167  
DESTIN_hex1822  DESTIN_hex1823  DESTIN_hex1824  DESTIN_hex1827  DESTIN_hex1828  
      0.264567       -0.443050        1.257579       -0.206444       -0.248483  
DESTIN_hex1829  DESTIN_hex1831  DESTIN_hex1833  DESTIN_hex1834  DESTIN_hex1835  
      0.472827       -0.919274        0.359097        0.638834       -0.985183  
DESTIN_hex1846  DESTIN_hex1847  DESTIN_hex1848  DESTIN_hex1850  DESTIN_hex1852  
     -2.064289       -0.471085       -0.309358        0.652955       -2.252701  
DESTIN_hex1853  DESTIN_hex1854  DESTIN_hex1855  DESTIN_hex1856  DESTIN_hex1857  
      0.599318        0.152027       -1.500687       -3.797340       -2.704059  
DESTIN_hex1858  DESTIN_hex1859  DESTIN_hex1860  DESTIN_hex1861  DESTIN_hex1862  
     -1.279203       -0.784252       -0.251726       -0.909718       -1.776430  
DESTIN_hex1874  DESTIN_hex1875  DESTIN_hex1877  DESTIN_hex1878  DESTIN_hex1879  
      0.401446       -0.427801        0.728364        0.595624       -0.270525  
DESTIN_hex1881  DESTIN_hex1882  DESTIN_hex1883  DESTIN_hex1884  DESTIN_hex1886  
     -4.269443        0.888822       -0.709282       -0.760003        1.658402  
DESTIN_hex1887  DESTIN_hex1888  DESTIN_hex1889  DESTIN_hex1890  DESTIN_hex1900  
      1.737496       -1.316804       -4.645446       -0.938920       -1.473291  
DESTIN_hex1901  DESTIN_hex1902  DESTIN_hex1904  DESTIN_hex1905  DESTIN_hex1906  
      1.644748        0.124835        0.543419        0.059755       -0.060823  
DESTIN_hex1907  DESTIN_hex1908  DESTIN_hex1909  DESTIN_hex1910  DESTIN_hex1912  
      0.373849       -0.224000        0.203525       -0.725342       -3.620757  
DESTIN_hex1913  DESTIN_hex1914  DESTIN_hex1916  DESTIN_hex1928  DESTIN_hex1931  
     -0.198625       -0.049716       -0.590472       -0.758384        0.236540  
DESTIN_hex1932  DESTIN_hex1933  DESTIN_hex1934  DESTIN_hex1935  DESTIN_hex1936  
      1.169780        0.940790       -0.232944       -0.318980        0.139498  
DESTIN_hex1937  DESTIN_hex1940  DESTIN_hex1941  DESTIN_hex1942  DESTIN_hex1956  
      0.357266       -0.575059       -1.453140        0.734107       -0.471363  
DESTIN_hex1958  DESTIN_hex1959  DESTIN_hex1960  DESTIN_hex1961  DESTIN_hex1962  
      0.157605        0.479323        0.714932        1.937686        0.040923  
DESTIN_hex1963  DESTIN_hex1964  DESTIN_hex1967  DESTIN_hex1968  DESTIN_hex1985  
     -0.155585        0.691350       -0.290336       -0.392987        0.428658  
DESTIN_hex1986  DESTIN_hex1987  DESTIN_hex1988  DESTIN_hex1989  DESTIN_hex1990  
     -0.308638        1.845753       -0.335082       -0.098861        1.919122  
DESTIN_hex1991  DESTIN_hex1992  DESTIN_hex1994  DESTIN_hex1995  DESTIN_hex2011  
      0.332440        1.560990       -2.765697       -1.161770        1.364469  
DESTIN_hex2012  DESTIN_hex2013  DESTIN_hex2014  DESTIN_hex2015  DESTIN_hex2016  
      0.572830        0.214694        0.198787        0.360659        0.335006  
DESTIN_hex2017  DESTIN_hex2021  DESTIN_hex2039  DESTIN_hex2040  DESTIN_hex2041  
      0.486805       -1.746452        0.727727        0.043490        0.264403  
DESTIN_hex2042  DESTIN_hex2043  DESTIN_hex2044  DESTIN_hex2046  DESTIN_hex2047  
      0.332667        0.583293        0.070074       -0.600770       -0.815909  
DESTIN_hex2049  DESTIN_hex2064  DESTIN_hex2066  DESTIN_hex2067  DESTIN_hex2068  
     -2.870104        0.995379        0.187147       -0.170030        0.136274  
DESTIN_hex2069  DESTIN_hex2070  DESTIN_hex2071  DESTIN_hex2072  DESTIN_hex2073  
     -1.257401       -0.023477        1.844645       -2.743952       -3.981486  
DESTIN_hex2092  DESTIN_hex2094  DESTIN_hex2095  DESTIN_hex2096  DESTIN_hex2097  
      0.677627        0.348961        0.541306       -0.463690        0.132492  
DESTIN_hex2098  DESTIN_hex2101  DESTIN_hex2102  DESTIN_hex2120  DESTIN_hex2121  
     -0.070001       -0.649234       -0.826357        1.420769        0.684858  
DESTIN_hex2122  DESTIN_hex2123  DESTIN_hex2124  DESTIN_hex2125  DESTIN_hex2126  
     -1.778187       -0.582165       -0.222701        1.128387       -1.308583  
DESTIN_hex2128  DESTIN_hex2129  DESTIN_hex2146  DESTIN_hex2147  DESTIN_hex2148  
     -1.714934       -1.182259       -0.606573        0.940503        0.786366  
DESTIN_hex2149  DESTIN_hex2150  DESTIN_hex2151  DESTIN_hex2152  DESTIN_hex2153  
      1.126675       -1.253836       -0.901415        0.929804       -0.303033  
DESTIN_hex2154  DESTIN_hex2155  DESTIN_hex2172  DESTIN_hex2174  DESTIN_hex2175  
     -1.383083       -1.721530       -0.112977       -0.871495        1.233732  
DESTIN_hex2176  DESTIN_hex2177  DESTIN_hex2178  DESTIN_hex2179  DESTIN_hex2180  
      0.516068        1.820903       -1.119058        0.702527       -0.108369  
DESTIN_hex2181  DESTIN_hex2182  DESTIN_hex2200  DESTIN_hex2201  DESTIN_hex2202  
      0.146894       -1.128508        0.495517        0.297573        0.962441  
DESTIN_hex2203  DESTIN_hex2204  DESTIN_hex2205  DESTIN_hex2206  DESTIN_hex2207  
      0.460077        0.851311       -0.064642        0.603140       -0.372886  
DESTIN_hex2208  DESTIN_hex2209  DESTIN_hex2227  DESTIN_hex2228  DESTIN_hex2229  
     -0.235689       -1.560616       -0.154801        0.630231        0.695016  
DESTIN_hex2230  DESTIN_hex2231  DESTIN_hex2233  DESTIN_hex2234  DESTIN_hex2235  
      0.683988       -0.333445        0.625097       -4.054932       -2.445090  
DESTIN_hex2254  DESTIN_hex2255  DESTIN_hex2256  DESTIN_hex2257  DESTIN_hex2258  
      0.241824       -0.028819        0.003832        0.545381       -0.852170  
DESTIN_hex2259  DESTIN_hex2260  DESTIN_hex2261  DESTIN_hex2262  DESTIN_hex2281  
     -1.043283       -0.143615        0.029822       -0.977517       -0.097199  
DESTIN_hex2282  DESTIN_hex2283  DESTIN_hex2284  DESTIN_hex2285  DESTIN_hex2286  
      1.108548       -0.067982        0.630791        0.422459       -0.530668  
DESTIN_hex2287  DESTIN_hex2288  DESTIN_hex2308  DESTIN_hex2309  DESTIN_hex2310  
      0.664296       -1.453397       -0.157951        1.017845        0.448040  
DESTIN_hex2311  DESTIN_hex2312  DESTIN_hex2313  DESTIN_hex2314  DESTIN_hex2315  
      1.088845       -0.531549        1.520460        0.961127        0.188831  
DESTIN_hex2316  DESTIN_hex2317  DESTIN_hex2335  DESTIN_hex2336  DESTIN_hex2337  
     -0.222318       -3.033745        0.116242        1.083786        0.989671  
DESTIN_hex2338  DESTIN_hex2339  DESTIN_hex2340  DESTIN_hex2341  DESTIN_hex2342  
      0.265065        0.572900        0.046224        0.678551       -0.466321  
DESTIN_hex2343  DESTIN_hex2362  DESTIN_hex2363  DESTIN_hex2364  DESTIN_hex2365  
     -0.833036       -0.243386       -0.130389        0.985587        1.483797  
DESTIN_hex2366  DESTIN_hex2367  DESTIN_hex2368  DESTIN_hex2369  DESTIN_hex2370  
      0.916239        0.173643        1.208345        1.140522        1.382412  
DESTIN_hex2371  DESTIN_hex2389  DESTIN_hex2390  DESTIN_hex2391  DESTIN_hex2392  
     -0.592511        0.296346        1.240683        0.638955        0.879969  
DESTIN_hex2393  DESTIN_hex2394  DESTIN_hex2395  DESTIN_hex2396  DESTIN_hex2397  
      1.021597       -1.541755        0.161210       -0.063441       -1.217981  
DESTIN_hex2398  DESTIN_hex2416  DESTIN_hex2417  DESTIN_hex2418  DESTIN_hex2419  
     -0.672546       -0.125591       -0.430167        0.336822        1.325197  
DESTIN_hex2420  DESTIN_hex2422  DESTIN_hex2423  DESTIN_hex2424  DESTIN_hex2425  
     -0.369935       -0.538890       -0.967495        0.595359        1.432238  
DESTIN_hex2426  DESTIN_hex2443  DESTIN_hex2444  DESTIN_hex2445  DESTIN_hex2448  
     -2.285369        1.304999        0.779692        0.966465        0.809609  
DESTIN_hex2449  DESTIN_hex2450  DESTIN_hex2451  DESTIN_hex2452  DESTIN_hex2471  
     -0.382749       -0.592490        0.864017       -1.591575       -0.076604  
DESTIN_hex2472  DESTIN_hex2473  DESTIN_hex2476  DESTIN_hex2478  DESTIN_hex2479  
     -0.149966        0.966457        0.381415       -0.427145       -1.366905  
DESTIN_hex2480  DESTIN_hex2497  DESTIN_hex2498  DESTIN_hex2499  DESTIN_hex2500  
     -1.947280        0.434837       -1.068347       -0.827182       -1.673814  
DESTIN_hex2503  DESTIN_hex2504  DESTIN_hex2505  DESTIN_hex2507  DESTIN_hex2525  
     -2.547601       -1.401201       -0.428795       -0.949279       -0.119923  
DESTIN_hex2526  DESTIN_hex2527  DESTIN_hex2531  DESTIN_hex2532  DESTIN_hex2533  
      0.810483        0.661932       -0.125157       -0.639451       -2.443518  
DESTIN_hex2551  DESTIN_hex2552  DESTIN_hex2553  DESTIN_hex2554  DESTIN_hex2557  
      1.030467       -0.008168       -0.194446       -0.825060        0.908434  
DESTIN_hex2559  DESTIN_hex2579  DESTIN_hex2580  DESTIN_hex2581  DESTIN_hex2584  
     -1.459125        0.037482        0.625841       -0.022838       -1.478400  
DESTIN_hex2605  DESTIN_hex2606  DESTIN_hex2607  DESTIN_hex2608  DESTIN_hex2609  
     -1.067816       -0.978046        0.510143        0.020005       -1.536937  
DESTIN_hex2610  DESTIN_hex2611  DESTIN_hex2633  DESTIN_hex2634  DESTIN_hex2635  
     -1.600037        0.291227        0.011479        2.150304       -0.408306  
DESTIN_hex2636  DESTIN_hex2637  DESTIN_hex2638  DESTIN_hex2660  DESTIN_hex2661  
      0.226818       -0.780092        0.245752       -0.191218        0.493710  
DESTIN_hex2662  DESTIN_hex2663  DESTIN_hex2664  DESTIN_hex2665  DESTIN_hex2687  
     -0.298631        0.908714       -0.353565        1.423083       -0.614623  
DESTIN_hex2688  DESTIN_hex2689  DESTIN_hex2690  DESTIN_hex2691  DESTIN_hex2693  
      0.047768        1.048449        1.090766        0.035643        0.597121  
DESTIN_hex2714  DESTIN_hex2715  DESTIN_hex2716  DESTIN_hex2717  DESTIN_hex2718  
     -0.700315       -0.042551       -1.302017        0.620424       -0.451685  
DESTIN_hex2719  DESTIN_hex2742  DESTIN_hex2743  DESTIN_hex2744  DESTIN_hex2745  
     -0.091727        0.673536        0.762699        1.264558        1.210607  
DESTIN_hex2746  DESTIN_hex2747  DESTIN_hex2768  DESTIN_hex2769  DESTIN_hex2770  
     -1.046381        0.480789        0.571951        1.419225        1.149626  
DESTIN_hex2771  DESTIN_hex2772  DESTIN_hex2773  DESTIN_hex2795  DESTIN_hex2796  
      2.255261       -1.052041       -0.264331       -0.444290       -3.579635  
DESTIN_hex2797  DESTIN_hex2798  DESTIN_hex2799  DESTIN_hex2800  DESTIN_hex2801  
      0.773749       -0.874702        0.265525        1.358935       -1.717031  
DESTIN_hex2822  DESTIN_hex2823  DESTIN_hex2824  DESTIN_hex2825  DESTIN_hex2826  
     -1.222632        0.417430        1.069250        0.533627        0.397019  
DESTIN_hex2827  DESTIN_hex2850  DESTIN_hex2851  DESTIN_hex2852  DESTIN_hex2853  
      2.097878       -0.604088        1.988779        0.086611        1.717684  
DESTIN_hex2854  DESTIN_hex2877  DESTIN_hex2878  DESTIN_hex2879  DESTIN_hex2880  
      0.454042        0.151896        1.092574        0.545029       -0.190031  
DESTIN_hex2881  DESTIN_hex2905  DESTIN_hex2906  DESTIN_hex2907  DESTIN_hex2908  
     -0.298714        1.319022        0.481518       -0.204083        0.444199  
DESTIN_hex2909  DESTIN_hex2931  DESTIN_hex2932  DESTIN_hex2933  DESTIN_hex2934  
     -1.338232        1.185151       -1.075633        1.369757        0.041252  
DESTIN_hex2959  DESTIN_hex2960  DESTIN_hex2961  DESTIN_hex2962  DESTIN_hex2963  
      1.532254        2.522546        0.263587        0.696641       -0.590304  
DESTIN_hex2987  DESTIN_hex2988  DESTIN_hex2989  DESTIN_hex2990  DESTIN_hex3015  
     -0.002604       -1.429891        0.854884        1.113776        0.035262  
DESTIN_hex3016  DESTIN_hex3017  DESTIN_hex3040  DESTIN_hex3043  DESTIN_hex3044  
      0.713621        0.370745        1.127584        0.680953        0.320484  
DESTIN_hex3068  DESTIN_hex3069  DESTIN_hex3070  DESTIN_hex3072  DESTIN_hex3092  
     -0.445384        1.171238        0.565815       -0.579237        0.976154  
DESTIN_hex3098  DESTIN_hex3123  DESTIN_hex3126  DESTIN_hex3151  DESTIN_hex3152  
      0.623358        1.898388       -2.451051        2.292708       -1.645137  
DESTIN_hex3173  DESTIN_hex3178  DESTIN_hex3179  DESTIN_hex3205  DESTIN_hex3206  
      0.302863        0.734356        0.780024        1.117046        1.995980  
DESTIN_hex3232  DESTIN_hex3233  DESTIN_hex3286  DESTIN_hex3308  DESTIN_hex3419  
      2.187218        1.788055       -0.098395        0.972347        0.669841  
          dist  
     -1.196948  

Degrees of Freedom: 38483 Total (i.e. Null);  36878 Residual
Null Deviance:      74760000 
Residual Deviance: 26560000     AIC: 26800000
orcSIM_fitted <- as.data.frame(orcSIM_morn_jan$fitted.values)
orcSIM_fitted <- as.data.frame(orcSIM_morn_jan$fitted.values)
orcSIM_coefficients <- as.data.frame(orcSIM_morn_jan$coefficients) 
colnames(orcSIM_fitted) <- "ORCEstimatedFlow"
fitted_flow_data_morn_jan <- cbind(flow_data_morn_jan,orcSIM_fitted)

desSIM_fitted <- as.data.frame(desSIM_morn_jan$fitted.values)
desSIM_coefficients <- as.data.frame(desSIM_morn_jan$coefficients) 
colnames(desSIM_fitted) <- "DESEstimatedFlow"
fitted_flow_data_morn_jan <- cbind(fitted_flow_data_morn_jan,desSIM_fitted)

dbcSIM_fitted <- as.data.frame(dbcSIM_morn_jan$fitted.values)
dbcSIM_coefficients <- as.data.frame(dbcSIM_morn_jan$coefficients) 
colnames(dbcSIM_fitted) <- "DBCEstimatedFlow"
fitted_flow_data_morn_jan <- cbind(fitted_flow_data_morn_jan,dbcSIM_fitted)
pacman::p_load(stplanr)

Original Constraint Flow Estimation Map

od_plot <- fitted_flow_data_morn_jan[fitted_flow_data_morn_jan$ORIGIN_hex!=fitted_flow_data_morn_jan$DESTIN_hex,]
flowLine <- od2line(flow = od_plot, 
                    zones = hex_grid,
                    zone_code = "index")

orc_flowLine <- flowLine %>% filter(ORCEstimatedFlow > 5000)
orc_fitted_inflow <- aggregate(fitted_flow_data_morn_jan$ORCEstimatedFlow, by=list(Category=fitted_flow_data_morn_jan$DESTIN_hex), FUN=sum)
colnames(orc_fitted_inflow) <- c("index", "Estimated_InFlow")
orc_fitted_inflow_hex <- left_join(hex_grid, orc_fitted_inflow, by = 'index')
orc_fitted_inflow_hex$Estimated_InFlow <- ifelse(is.na(orc_fitted_inflow_hex$Estimated_InFlow), 0, orc_fitted_inflow_hex$Estimated_InFlow)

orc_fitted_outflow <- aggregate(fitted_flow_data_morn_jan$ORCEstimatedFlow, by=list(Category=fitted_flow_data_morn_jan$ORIGIN_hex), FUN=sum)
colnames(orc_fitted_outflow) <- c("index", "Estimated_OutFlow")
orc_fitted_outflow_hex <- left_join(hex_grid, orc_fitted_outflow, by = 'index')
orc_fitted_outflow_hex$Estimated_OutFlow <- ifelse(is.na(orc_fitted_outflow_hex$Estimated_OutFlow), 0, orc_fitted_outflow_hex$Estimated_OutFlow)
tmap_mode("view")
tm_shape(hex_grid) +
  tm_fill(col="#f2ffff") +
  tm_borders(col = "grey") +
tm_shape(orc_fitted_inflow_hex) +
  tm_fill(col = "Estimated_InFlow",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Estimated Inflow Volume")+
  tm_borders(col = "grey") +
tm_shape(orc_fitted_outflow_hex) +
  tm_fill(col = "Estimated_OutFlow",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Estimated Outflow Volume")+
  tm_borders(col = "grey") +
tm_shape(orc_flowLine) +
  tm_lines(lwd = "ORCEstimatedFlow",
           col = "ORCEstimatedFlow",
           palette = c("#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "pretty",
          scale = c(1,2,3,4,5,7,9),
          n = 6,
          title.lwd = "Orgin Constrained Flow",
          id = "ORCEstimatedFlow")

Destination Constraint Flow Estimation Map

des_flowLine <- flowLine %>% filter(DESEstimatedFlow > 5000)
des_fitted_inflow <- aggregate(fitted_flow_data_morn_jan$DESEstimatedFlow, by=list(Category=fitted_flow_data_morn_jan$DESTIN_hex), FUN=sum)
colnames(des_fitted_inflow) <- c("index", "Estimated_InFlow")
des_fitted_inflow_hex <- left_join(hex_grid, des_fitted_inflow, by = 'index')
des_fitted_inflow_hex$Estimated_InFlow <- ifelse(is.na(des_fitted_inflow_hex$Estimated_InFlow), 0, des_fitted_inflow_hex$Estimated_InFlow)

des_fitted_outflow <- aggregate(fitted_flow_data_morn_jan$DESEstimatedFlow, by=list(Category=fitted_flow_data_morn_jan$ORIGIN_hex), FUN=sum)
colnames(des_fitted_outflow) <- c("index", "Estimated_OutFlow")
des_fitted_outflow_hex <- left_join(hex_grid, des_fitted_outflow, by = 'index')
des_fitted_outflow_hex$Estimated_OutFlow <- ifelse(is.na(des_fitted_outflow_hex$Estimated_OutFlow), 0, des_fitted_outflow_hex$Estimated_OutFlow)
tmap_mode("view")
tm_shape(hex_grid) +
  tm_fill(col="#f2ffff") +
  tm_borders(col = "grey") +
tm_shape(des_fitted_inflow_hex) +
  tm_fill(col = "Estimated_InFlow",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Estimated Inflow Volume")+
  tm_borders(col = "grey") +
tm_shape(des_fitted_outflow_hex) +
  tm_fill(col = "Estimated_OutFlow",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Estimated Outflow Volume")+
  tm_borders(col = "grey") +
tm_shape(orc_flowLine) +
  tm_lines(lwd = "DESEstimatedFlow",
           col = "DESEstimatedFlow",
           palette = c("#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "pretty",
          scale = c(1,2,3,4,5,7,9),
          n = 6,
          title.lwd = "Destination Constrained Flow",
          id = "DESEstimatedFlow")
dbc_flowLine <- flowLine %>% filter(DBCEstimatedFlow > 5000)
dbc_fitted_inflow <- aggregate(fitted_flow_data_morn_jan$DBCEstimatedFlow, by=list(Category=fitted_flow_data_morn_jan$DESTIN_hex), FUN=sum)
colnames(dbc_fitted_inflow) <- c("index", "Estimated_InFlow")
dbc_fitted_inflow_hex <- left_join(hex_grid, orc_fitted_inflow, by = 'index')
dbc_fitted_inflow_hex$Estimated_InFlow <- ifelse(is.na(dbc_fitted_inflow_hex$Estimated_InFlow), 0, dbc_fitted_inflow_hex$Estimated_InFlow)

dbc_fitted_outflow <- aggregate(fitted_flow_data_morn_jan$DBCEstimatedFlow, by=list(Category=fitted_flow_data_morn_jan$ORIGIN_hex), FUN=sum)
colnames(dbc_fitted_outflow) <- c("index", "Estimated_OutFlow")
dbc_fitted_outflow_hex <- left_join(hex_grid, orc_fitted_outflow, by = 'index')
dbc_fitted_outflow_hex$Estimated_OutFlow <- ifelse(is.na(dbc_fitted_outflow_hex$Estimated_OutFlow), 0, dbc_fitted_outflow_hex$Estimated_OutFlow)
tmap_mode("view")
tm_shape(hex_grid) +
  tm_fill(col="#f2ffff") +
  tm_borders(col = "grey") +
tm_shape(dbc_fitted_inflow_hex) +
  tm_fill(col = "Estimated_InFlow",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Estimated Inflow Volume")+
  tm_borders(col = "grey") +
tm_shape(dbc_fitted_outflow_hex) +
  tm_fill(col = "Estimated_OutFlow",
          palette = c("#f2ffff","#f9f777","#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "fixed",
          breaks = c(0,1,100,1000,10000,100000,500000,1000000,5000000),
          title = "Estimated Outflow Volume")+
  tm_borders(col = "grey") +
tm_shape(orc_flowLine) +
  tm_lines(lwd = "DBCEstimatedFlow",
           col = "DBCEstimatedFlow",
           palette = c("#f8d673","#f89974","#D66779","#b977cb","#7977f3","#57bfc0"),
          style = "pretty",
          scale = c(1,2,3,4,5,7,9),
          n = 6,
          title.lwd = "Destination Constrained Flow",
          id = "DBCEstimatedFlow")

Exploring User Input Options for Shiny Application

From the exercise above, we may include the following user specification and model calibration options for our Shiny application.

Input Options
Month of Interest November 2023, December 2023, January 2024
Time Period Weekday - Morning , Weekday - Evening, Weekend/Holiday - Morning, Weekend/Holiday - Evening
Area of Interest Singapore (Overall), individual subzone/ planning areas
Flow Type Inflow, Outflow
Model Type Origin Constraint, Destination Constraint, Doubly Constraint

Comparison

model_list <- list(originConstrained=orcSIM_morn_jan,
                   destinConstrained=desSIM_morn_jan,
                   doublyConstrained=dbcSIM_morn_jan)

compare_performance(model_list, metrics = "RMSE")
# Comparison of Model Performance Indices

Name              | Model |     RMSE
------------------------------------
originConstrained |   glm | 2236.203
destinConstrained |   glm | 2219.576
doublyConstrained |   glm | 2070.654
ggplot(data = fitted_flow_data_morn_jan,
                aes(x = ORCEstimatedFlow,
                    y = TOTAL_TRIPS)) +
  geom_point() +
  geom_smooth(method = lm) +
  coord_cartesian(xlim=c(0,100000),
                  ylim=c(0,100000)) + 
  labs(title = "Observed vs. Fitted Values for Origin constrained SIM",
       x = "Fitted Values", y = "Observed Values")

ggplot(data = fitted_flow_data_morn_jan,
                aes(x = DESEstimatedFlow,
                    y = TOTAL_TRIPS)) +
  geom_point() +
  geom_smooth(method = lm) +
  coord_cartesian(xlim=c(0,100000),
                  ylim=c(0,100000)) + 
  labs(title = "Observed vs. Fitted Values for Destination constrained SIM",
       x = "Fitted Values", y = "Observed Values")

ggplot(data = fitted_flow_data_morn_jan,
                aes(x = DBCEstimatedFlow,
                    y = TOTAL_TRIPS)) +
  geom_point() +
  geom_smooth(method = lm) +
  coord_cartesian(xlim=c(0,100000),
                  ylim=c(0,100000)) + 
  labs(title = "Observed vs. Fitted Values for Doubly constrained SIM",
       x = "Fitted Values", y = "Observed Values")

5.0 Proposed Shiny Application Interface